Question

A man who is 1 3/4 m tall sees that angle of elevation of the top of a temple is 30°. If the distance of the man from the temple is 15 m, find the height of the temple.

Answer 1

Here the distance of the man from the temple is given,

BC = DE = 15 m.

And height of man = BD = CE = 1 3/4 = 1.75 m

From the ∆ABC,

Now, height of the temple = AC + CE = 8.66 + 1.75 = 10.41

Therefore, height of the temple is 10.41 m.