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

Leonie

Mathematics

20 June, 20:11

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?

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Answers (1)

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Patch · 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