Two birds sit at the top of two different trees 17.8 feet away from one another. The distance between the first bird and a bird watcher on the ground is 37.4 feet. What is the angle measure, or angle of depression, between this bird and the bird watcher? Two trees have a bird on top of each. Distance between birdwatcher and first bird is 37 point 4 feet. Distance between each bird is 17 point 8 feet. Angle of depression between birdwatcher and first bird is unknown.

Given that the distance between the bad and the watcher is 37.4 ft and the distance between the birds is 17.8, the angle of elevation will be given by:
tan theta=[opposite]/[adjacent]
opposite=17.8 ft
adjacent=37.4 ft
thus
tan theta=17.8/37.4
theta=tan(17.8/37.4)
theta=25.5
The angle elevation will be 25.5

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vintechnology vintechnology · Answer 2 · 2022-07-07T12:13:29+02:00

The measure of the angle of depression, between this bird and the bird watcher is 61.6 degrees.

How to find the angle of depression?

The angle of depression between this bird and the bird watcher can be found using trigonometric ratios.

Therefore,

cos x = adjacent / hypotenuse

Hence,

cos x = 17.8 / 37.4

cos x = 0.47593582887

x = cos⁻¹ 0.47593582887

x = 61.5797547444

Therefore,

angle of depression = 61.6 degrees

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