Question

4
A flagpole is 12 feet tall. If the flagpole casts a 50-foot shadow, then what is the angle of elevation to the sun?
А
76.5
B
51.4
4.2
D
13.5

Answer 1

Answer:

$\theta=13.5^{\circ}$

Step-by-step explanation:

Given that,

The height of a flagpole, h = 12 feet

the height of the shadow, b = 50 feet

We need to find the angle of elevation of the sun. Let it is be θ. Using trigonometry to find it.

$\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{12}{50}\\\\\theta=13.49^{\circ}\\\\or\\\theta=13.5^{\circ}$

So, the angle of elevation to the sun is equal to $13.5^{\circ}$.