A person observed the angle of elevation of the top of a tower as 30°. He walked 50 m towards the foot of the tower along level ground and found the angle of elevation of the top of the tower as 60°. Find the height of the tower.
Let be the tower of height. And person makes an angle of elevation of top of tower is 30°, he walks m towards the foot of tower then makes an angle of elevation 60°
Let , , and ,
Now we have to find height of tower.
We have the corresponding figure as follows
So we use trigonometric ratios.
In a triangle ABC,
Again in a triangle,
Hence the height of tower is .