Question

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.

Answer 1

Answer:

x = 45.3°

Step-by-step explanation:

The distant between the first bird and the bird watcher is opposite to the reference angle, x° = 32 ft

The hypotenuse is the distance between the second bird and the bird watcher = 45 ft.

Therefore,

$sin(x) = \frac{opp}{hyp} = \frac{32}{45}$

$sin(x) = \frac{32}{45} = 0.7111$

$x = sin^{-1}(0.7111)$

$x = 45.3$