Question

What is the angle of elevation of the sun when a 49-ft mast casts a 22 ft shadow?

Answer 1

`\theta=65.82^(\circ)`

Explanation:

Given that,

Perpendicular = 49 ft

Base = 22 ft

We need to find the angle of elevation of the sun. It can be calculated using trigonometry as follows :

`\tan\theta=(P)/(B)\\\\\tan\theta=(49)/(22)\\\\\theta=65.82^(\circ)`

So, the required angle of elevation is
`65.82^(\circ)`.