Question

At a certain point from a pole, the angle of the elevation to the top of the pole is 28 degrees if the pole is 6.3 feet tall, what is the distance from the pole

Answer 1

the distance from the pole is 11.85 ft.

Explanation:

Given;

the elevation to the top of the pole, θ = 28⁰

height of the pole, h = 6.3 ft

let the distance from the pole = x

If a sketch of a right triangle is made as follows, it will be observed that the base of the triangle forms the adjacent side of the triangle, which is equal to x.

↑

↑ h = 6.3 ft

↑

28⁰ ---------------

x

`tan(28) = (6.3)/(x) \\\\x = (6.3)/(tan(28)) \\\\x = 11.85 \ ft`

Therefore, the distance from the pole is 11.85 ft.

Answer 2

11.85

Explanation:

Tan 28 = opposite / adjacent