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

Respuesta :

Answer:

11.85

Step-by-step explanation:

Tan 28 = opposite / adjacent

Answer:

the distance from the pole is 11.85 ft.

Step-by-step 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

[tex]tan(28) = \frac{6.3}{x} \\\\x = \frac{6.3}{tan(28)} \\\\x = 11.85 \ ft[/tex]

Therefore, the distance from the pole is 11.85 ft.