Question

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?

Answer 1

check the picture below

the bird is y + 30 above the ground.

make sure your calculator is in Degree mode.

Answer 2

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