A bird at the top of a tree looks down at a field mouse with an angle of depression of 65°. If the field mouse is 30 meters from

Question

3 years ago

7

A bird at the top of a tree looks down at a field mouse with an angle of depression of 65°. If the field mouse is 30 meters from

the base of the tree, find the distance from the field mouse to the bird’s eyes. Round the answer to the nearest tenth. a. 29.6 m b. 50.0 m c. 64.3 m d. 71.0 m

Mathematics

1 answer:

Nesterboy [21] · Answer 1 · 2022-02-27T02:30:44+03:00

The angle of depression made by the bird to the mouse is seen on the attached image. We can find the distance from the field mouse up to the bird's eye by getting the hypotenuse of the triangle formed. Using the CAH in Pythagorean Theorem, we will have:

cos ∅ = adjacent / hypotenuse
cos 65 = 30 / h
h = 70.98 ≈ 71 m ⇒ the answer is D