Question

HELP ASAP

Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet. The distance between the birdwatcher and the second bird is 45 feet.

A triangle is created from point Bird Watcher, point First Bird, and point Second Bird. Angle First Bird is a right angle, and angle Second Bird measures x degrees.

What is the angle measure, or angle of depression, between this bird and the birdwatcher? Round your answer to the nearest tenth.

35.4°
44.7°
45.3°
54.6°

Answer 1

45.3 I think good luck

Answer 2

The correct angle is 45.3°

Explanation:

Since the opposite side of the angle is 32 feet, and the hypotenuse of the right triangle is 45 feet, you would know that the sine of x° is equivalent to
`(32)/(45)`. To find the value of x, take the arcsin of both sides and you'll get that
`x = arcsin((32)/(45))` ⇒
`x` ≈ 45.3°.