Two birds sit at the top of two different trees. The distance between the first bird and a bird watcher on the ground is 29.7 feet. The distance between the bird watcher and the second bird is 42.1 feet.. What is the angle measure, or angle of depression, between this bird and the bird watcher? . . a. 45.1°. b. 44.9°. c. 54.8°. d. 35.2°

If the first bird is on top of the bird watcher and the height of the tree is the same, then we form a right triangle with right angle on the second bird.

We can solve the angle of depression by trigonometric functions. So,
sin θ = 29.7 / 42.1
θ = sin-1 (29.7/42.1)
θ = 44.87°

Therefore, the angle of depression of the second bird and the bird watcher is 44.87°.

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shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-06-06T13:23:26+02:00

The angle of depression of the second bird and the bird watcher would be 44.87°.

What is the angle of depression?

You look straight parallel to the ground. But when you have to watch something down, then you take your sight down by moving your head up.

The angle from horizontal to the point where you stopped your head is called the angle of depression.

Two birds sit at the top of two different trees.

The distance between the first bird and a bird watcher on the ground is 29.7 feet.

The distance between the bird watcher and the second bird is 42.1 feet.

Here, we form a right angled triangle with a right angle on the second bird.

We can solve the angle of depression by using trigonometric functions.

So,

sin θ = 29.7 / 42.1

θ = sin-1 (29.7/42.1)

θ = 44.87°

Therefore, the angle of depression of the second bird and the bird watcher would be 44.87°.

Learn more about trigonometric identities here:

https://brainly.com/question/13094664

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