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Syllabus

The angle of elevation of a jet plane from a point A on the ground is 60

^{0.}After a flight of 15 sec,the angle of elevation changes to 30^{0}.If the jet plane is flying at a height of 1500 root 3 m,find the speed of the jet plane.From the top of the building 60m high the angle of depression of the top and bottom of a vertical lamp post are observed to be 30 degree and 60 degree respectively find

a)the distance between the building and the lamp post

b)the height of the lamp post

The angle of elevation of a jet fighter from point A on the ground is 60°.After a flight of 15 seconds, the angle of elevation changes to 30°.If the jet is flying at a speed of 720 km/h, find the constant height at which jet is flying.

If the angle of elevation of a cloud from a point

hmetres above a lake isalphaand the angle of depression of its reflection isbeta. Prove that the height of cloud ish(tan beta + tan alpha)/ tan beta - tan alpha10

(i) The angle of elevation of the top of a tower at a point in the horizontal line through the foot of the tower is 45

^{o}. After walking a distance is 80m towards the foot of the tower along the same horizontal line the angle of elevation of the top of the tower changes to 60^{o}. Find the height of the tower.(ii) The angle of elevation of the top of a tower standing on a horizontal plane from a point P is θ. After walking distance 'd' towards the foot of the tower the angle of elevation is found to be ϕ. Find the height of the tower.

The angle of elevation of a cloud from a point 60m above the lake is 30 and the angle of depression of its reflection in the lake is 60.find the height of the cloud above the lake?

if cosec A - cot A =13 then find the value of (cosec A + cot A)

A man standing on the deck of a ship, which is 10m above the water level, observes the angle of elevation of the top of a hill as 60 degree and the angle of depression of the base of the hill as 30 degree. Find the distance of the hill fom the ship and the height of the hill.

The Angle of elevation of th top of a vertical tower from a point on the ground is 60

^{o.}From another point 10m vertically above the first, its angle of elevation is 30^{o.}Find the height of tower? ...................Please provide me answer as soon as possible....evaluate

sin 30^{0}+ tan 45^{0}-cosec 60^{0}sec 30^{0 +}cos 60^{0}+ cot 45^{0}The angle of elevation of the top Q of a vertical tower PQ from point X on the ground is 60 degree.At a point Y 40m vertically above X the angle of elevation is 45 degree .Find the height Of the tower PQ and distance XQ.

the angles of depression of the top and bottom of an 8m tall building from the top and bottom of a multistoreyed buildin are 30 and 45 degrees respectively. find the height of the multistoreyed building and the distance between the twoo buildings. please anser me fast today is my test.

if root 3 tan theta=1, then find the value of sin

^{2}theta-cos^{2}thetathe angles of elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it are complementary. prove that the height of the tower is 6 m

A boy standing on a horizontal plane finds a bird flying at a distance of 100m from

him at an elevation of 30

0. A girl standing on the roof of 20 meter high building finds the angle of elevation of the same bird to be 450. Both the boy and the girl are on opposite sides of the bird. Find the distance of the bird from the girl.

Find the distance of the point from the top of the tower .

Experts answer fast

From the top of a hill the angle of depression of the two consecutive kilometre stones due to east are found to be 30

^{o}and 45^{o}.Find the height of a hill.FROM THE TOP OF A TOWER 50M HIGH THE ANGLES OF DEPRESSION OF THE TOP AND THE BOTTOM OF A POLE ARE OBSERVED TO BE 45DEGREE AND 60DEGREE RESPECTIVELY. FIND THE HEIGHT OF THE TOWER

A man on a deck of a ship 12m above water level observes the angle of elevation of the top pf a cliff is 60degree and the angle of depression of the base of the cliff is 30degree. Find the distance of the cliff from the ship and the height if the cliff .In a flight of 600 km , an aircraft was slowed down due to bad weather. The average speed for the trip was decreased by 200 km/h & the time of flight increased by 30 minutes. Find the duration of flight.

a ladder rests against a vertical wall at an inclination of

to the horizontal.its foot is pulled away from the wall through a distancealphapso that its upper end slides a distanceqdown the wall and then the ladder makes an angle ofbetato the horizontal show thatp/q= cos beta - cos alpha/ sin alpha -sin betaa a parachutist is descending vertically and makes anggles of depression of 45degree and 60 degree at two observation points100m apart from each other on the left side of himself. find ,in metres,the approximate height from which he falls and also find ,in metres the approximate distance of the point where he falls on the ground from the first observation point?????????????

a bird sitting on the top of a tree, which is 80m high. the angle of elevation of the bird, from the point on the ground is 45

^{0}. the bird flies away from the point of observation horizantally and remains at a constant height. after 2 seconds, the angle of elevation of the bird from the point of observation becomes 30^{0}. find the sped of the flying birdFrom a top of a 7m high building, the angle of elevation of the top of a cable tower is 60 degree & the angle of depression of its foot is 45 degree. Determine the height of the tower.

PLZ ANSWER IN UNDERROOTS & WITH THE FIGURE.

as observed from the top of a lighthouse 100m above sea level the angle of depression of a ship sailing directly towards it changes from 30 degree to 60 degree. determine the distance travelled by the ship during the period of observation

_{1}, A_{2}, A_{3}, ......... are located of equal distance on the ray AX and the point B is joined to : (1) A_{8}(2) A_{11}(3) A_{3}(4) A_{12}a pole 6 m high casts a shadow 2 root 3 m on the ground then the sun's elevation is :

a-60 degrees

b-45 degrees

c - 30 degrees

d-90 degrees

The angle of depression from top of a 12m high at a point on the ground is 30degrees the distance of the point from the top of the tower is

An aeroplane flying horizontally 1 km above the ground is observed at an elevation of 60V. After a flight of 10 seconds, its angle of elevation is observed to be 30V from the same point on the ground. Find the speed of the aeroplane in km/hour.

At the foot of a mountain the elevation of its summit is 45° . After ascending 1000m

16)the angle of elevation of the top of a tower from a point A on the ground is 30 degree.on moving a distance of 20metres towards the foot of the tower to a point B the angle of elevation increases to 60 degree.find the height o the tower and the distance of the tower from the point A.

A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car as an angle of depression of 30°, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60°. Find the time taken by the car to reach the foot of the tower from this point.

A vertical stick 20 m long casts a shadow 16 m long.at the same time a tower casts a shadow 48 m long. then height of the tower is...............plz ans.

The length of the shadow of a tower standing on level ground is found to be 2x metres longer

when the sun’s altitude is 30° than when it was 45°. Prove that the height of tower is (√3+1)x

metres.

The angle of elevation of the top B of a tower AB from a point X on the ground is 60. At a point Y, 40m vertically above X, the angle of elevation is 45. Find the height of the tower AB and the distance XB.

A fire in building B is reported on telephone to two fire stations P and Q, 20 km apart from each other on a straight road. P observes that the fire is at an angle of 60 degree to the road and Q observes it an angle of 45 degrees to the road.Which station should send its team and how much will the team have to travel ?

if

costheta +costheta =^{2}1than prove thhatsintheta +^{2}sintheta=^{4}1an aeroplane at an altitude of 200m the angle of depression of two opposite pointso two banks of a river to be 45 and 60 degrees. find the width of the river in meters

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45° and 60° respectively. Find the height of the tower

Stations A and B are 3(1+root 3) km apart.Each station sees an aeroplane at an angle of elevation 30

^{0}and 45^{0}.Find altitude of planeA fire in the building B is reported on telephone to two fire stations P and Q, 20km apart from each other on a straight road. P observes that the fire is at the angle of 60° to the road and Q observes that it is at an angle of 45° to the road. Which station should send its team and how much will this team have to travel?

Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60 digree and 30 digree, respectively. Find the height of the poles and the distance of the point from the poles.

9) a vertical tower stands on a horizontal plane and is surmounted by a vertical flag-staff of height 5 metres.at a point on the plane,the angles of elevation of the bottom and the top of the flag-staff are respectively 30 degree and 60 degree.find the height of the tower.

the shadow of a tower standing on a level ground is found to be 20 m longer when the sun 's altitude is 30 degree than when it is 45 degree.Find the height of the tower.

the tops of two poles of height 16m and 10m are connected by a wire . If the wire makes an angle of 30 with the horizontal , then the length of the wire ... ??The angle of elevation of the top of a tower from a point P on the ground is a. After walking a distance d towards the foot of the tower, angle of elevation is found to be b.

From a point 100m above a lake the angle of elevation of a 30 degree and angle of depression of its reflecting in the lake is 60 degree. find the height of helicopter.

a path separates two walls. A ladder leaning against one wall rests at a point on the path. It reaches a height of 90 m on the wall and makes an angle of 60 degrees with the ground. If while resting at the same point on the path, it were made lean against the other wall, it would have made an angle of 45 degrees with the ground. Find the height it would have reached on the second wall.

Two boats approach a light house in mid-sea from opposite directions.The Angles of elevation of the top of the light house from two boats are 60 and 45 respectively.If the distance between the two boats is 100m,find the height of hte light house.

Q. A ladder 9m long reaches a point 9m below the top of a vertical flag staff. From the foot of the ladder the elevation of the top of the flagstaff is 60degrees. Find the height of the flag staff.

A tree 12m high, is broken by the wind in such a way that its top touches the ground and makes an angle of 60degree with the ground .. At what height from the bottom, the is broken by the wind???angle of elevation of the top of the hill at the foot of tower is 60 degrees and the angle of elevation of tower from the foot of the hill is 30 degrees. if tower is 50m high find the height of hill

A marble statue of height h

_{1}metres is mounted on a pedestal. The angles of the top and bottom of the statue from a point h_{2}metres above the ground level are A and B respectively..Show that the height of the pedestal is

(h1 - h_{2})tanB + h_{2}tanAtanA- tan BA man on cliff observes a boat at an angle of depression of 30 degree which is approaching the shore to the point immediately beneath the observer with a uniform speed. Six minutes later , the angle of depression of the boat is found to be 60 degree . Find the total time taken by the boat to reach the shore .

A 1.6m tall, girl stands ata distance of 3.2m from a lamp-post and cats a shadow of 4.8m on the grond. Find the height of the lamp-post by using (i)trignometric ratios (ii)property of similiar triangles.

above sea level observes the angle of elevation of a bird as20 m30and the angle of depression of its reflection in the sea as60. find the height of the bird. PLSSSS answer this question. the previous time i asked this question i got another question's answerA round balloon of radius r subtends an angle α at the eye of the

if two towers of height h1 and h2 subtend angles of 60 degree and 30 degree respectively at the midpoint of the line joining their feet , then the ratio of h1: h2

the angles of depression of two ships from the top of a light house are 45 and 30 towards east.if the ship some 100 m apart find the height of light house?

aeroplane leaves the same Airport and flies due west at 400 km/h.

i. Distance travelled by the first aeroplane in 1.5 hours

ii. Distance travelled by the second aeroplane in 1.5 hours

iii. Which of the following line segment shows the distance between both the aeroplane?

iv. Which aeroplane travelled a long distance and by how many km?

v. How far apart the two aeroplanes would be after 1.5 hours?

At a point on level ground, the angle of elevation of a vertical tower is found such that it's tangent is 5/12 . On walking 19.2 mtrs towards the tower , the tangent of the angle of elevation is 3/4 . Find height of the tower?????

1) the difference between the heights of the lighthouse and the building

2) the distance between the light house and the building

As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.

FAAST GUYZ!! MA ASSIGNMENT

IF A PERSON ONWALKING 20 M TOWARDS CHIMNEY IN A HORIZONTAL LINE THROUGH ITS BASE OBSERVES THAT ITS ANGLE OF ELEVATION CHANGES FRO 30 TO 456 THEN THE HEIGHT OF CHIMNEY???

An aeroplane flying horizontally at a height of 2500m above the ground is observed at a certain point on earth to subtend and angle of 60

^{0}. After 15 seconds, its angle of elevation at the same point is observed to be 30^{0}. Calculate the speed of the aeroplane.The shadow of a tower standing on the level ground is found to be 40 m

longer when the sun’s altitude is 30 than when it is 60Find the height

of the tower.

from a window (h metres high above the ground) of a house in a street,the angel of elevation and depression of the top and the foot of another house on the opposit side of the street are Ѳ and ф respectly. show that hte height of the opposit house is h(1 + tanѲ cotф )

Q.There are two temples, one on each bank of a river, just opposite to each other. One temple is 50m high. From the top of this temple, the angles of depression of the top &the foot of the other temple are 30^{0}& 60^{0}respectively. Find the width of the river and the hight of the other temple.how does 87/root3 becum 29root3????

the angle of elevation of an aeroplane from a point on the ground is 45 degree. After 15 seconds of flight the angle changes to 30 degree.f the plane is flying at a constant height of 2500m,find the speed of the plane.

^{0}, find the length of its shadow.A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 30 degree with the ground. The distance between the foot of the tree to the point where the top touches the ground is 8m find he height of the tree.

a man standing on deck of ship which is 10m above the sea level, observes the angle of elevation of the top of a cloud as 30 degree and angle of depression of its reflection in the sea was found to be 60 degree. find the height of the cloud and also the distance of cloud from the ship

Find the angular elevation of the Sun when the shadow of a 10m long pole is 10√3m.