Question

A boy is 1.54 m tall. Standing at a distance of 3m in front of a 4.54 m high wall he can just manage to see the sun. Find the angle of elevation of the sun. 

Answer 1

Let the position of the boy be at point T and P be the position of the sun. 
BR = TQ = 3m 
PQ = 4.54 m 
BT = 1.54 m
.·.PR = 4.54 m - 1.54 m = 3 m 

In ΔPRB 

`"PR"/"BR" = tan θ`

`3/3 = tan θ`

tan θ = 1

We know that tan 45° = 1. 

Thus, the angle of elevation is θ = 45°.