Subject: Math, asked 22 hours, 18 minutes ago

Trigonometry simply means calculateons with triangles (that?s where the tri
comes from). It is a study of relationships in mathematics involving lengths,
heights and angles of different triangles. The field emerged during the 3rd
century BC, from applications of geometry to astronomical studies.
Trigonometry spreads its applications into various fields such as architects,
surveyors, astronauts, physicists, engineers and even crime scene investigators.
Some basic terms involved in heights and distances are
Trigonometry can be used to solve problems that use an angle of elevation or depression.
These problems can be visualised by drawing diagrams which involves right triangles and
hence can calculate the required heights and distances
Harsha and Deepak were planning to do a project in application of trigonometry for class 10.
They went to a nearby park with measuring tape and clinometer ( an instrument to measure
the angle of elevation and depression ) . Give answers to the questions by drawing a suitable
diagram in each cases.
( a ) They first planned to find the ratio of height of two trees. ( say h1 and h2 ) . Harsha
found the angle of elevation of two trees of height h1 and h2 as 60? and 30? respectively, by
standing in the midpoint of line joining two trees .
h1 : h2 is _______________ ( 2 marks )
( b ) They saw a lamp post which is 6m high having a shadow of length 2 ?3 m, they wished
to find the elevation of Sun.
The elevation of sun is ----------------
( c ) They saw two buildings ( A and B ) with horizontal distance between them as 15m.
Deepak was standing on top of 24m high building ( B ) and observed the angle of elevation
of top of the other building ( A ) as 30 ?. They want to find the height of building A .
The height of building A is --------------------
( d ) In the play area , they saw a ladder which was erected straight. They both climbed the
ladder. Harsha was standing on a step ?A? which is 2m above the ground and Deepak was
standing on the step ? B? , which is 4m vertically above ?A?. At an instant, the angles of
elevation of balloon from A and B are observed to be 60? and 30? respectively. They want
to find the height of the balloon from the ground .
Height of the balloon from the ground is __________________

Subject: Math, asked 3 days, 1 hour ago

Subject: Math, asked 5 days, 21 hours ago

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