Question

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

Answer 1

Answer:

$\theta=65.82^{\circ}$

Step-by-step 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 :

$\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{49}{22}\\\\\theta=65.82^{\circ}$

So, the required angle of elevation is $65.82^{\circ}$.