A bird's nest is on top of a power pole that is 30 feet tall. The bird is above the nest and the angle formed from the nest to the bird is 25°. The horizontal distance from the bird to the pole is 100 feet. Approximately how far is the bird above the ground?

Question

Mathematics

Orlando Miller

Today, 04:34

A bird's nest is on top of a power pole that is 30 feet tall. The bird is above the nest and the angle formed from the nest to the bird is 25°. The horizontal distance from the bird to the pole is 100 feet. Approximately how far is the bird above the ground?

+3

Answers (1)

Know the Answer?

Saul · Answer 1

Ah! I thought it was the distance from the base of the pole to the bird.

Okay. The height of the bird:

With the tangent: height/length = tan (angle)

tan (25) = height/100---> height = 100*tan (25) = 46.63 ft (make sure the calculator is in degree)

But this is the height from the nest, from the ground is + 30:

76.63