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

`\theta=13.5^(\circ)`

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=(P)/(B)\\\\\tan\theta=(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)`.