Question

¿Kurt spots a birt sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 degress, how far is Kurt standing from the base of the pole?

Answer 1

it's 24.0 when rounding to the nearest tenth

Explanation:

I'm taking a test and this is a question!

Answer 2

Kurt is standing 24.03 ft. from the base of the pole

Explanation:

Refer the attached figure .

Height of the pole = AB = 40 ft.

Since the bird is sitting on the top of the pole.

So, the angle of elevation from the ground where Kurt is standing to the bird = ∠ACB = 59°

We are required to find how far is Kurt standing from the base of the pole i.e. BC

So, we will use trigonometric ratio:

`tan\theta = (Perpendicular)/(Base)`

`tan59^(\circ)= (AB)/(BC)`

`1.664= (40)/(BC)`

`BC= (40)/(1.664)`

`BC=24.03`

Thus BC = 24.03 ft.

Hence, Kurt is standing 24.03 ft. from the base of the pole