Question

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 birdwatcher on the ground is 37.4 feet. what is the angle measure, or angle of depression, between this bird and the birdwatcher? 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. © 2011 jupiter images corporation 25.5° 64.5° 28.4° 61.6°

Answer 1

The angle of depression between the bird and the birdwatcher is 61.32°

In the question, it is said that the distance between two birds is 17.8ft and the distance between the first bird and the birdwatcher is 37.4ft. So, when we draw an image in our mind then we can say that this whole system forms a right-angle triangle with a base of 17.8ft and a hypotenuse of 37.4ft. As we know that to calculate the angle of depression we will use trigonometric equations here i.e.,

cos x = Base/Hypotenuse

cos x = 17.8 / 37.4

cos x = 0.48

x = cos⁻¹(0.48)

x =  61.32°

Thus, the angle of depression is 61.32°.

Learn more about the angle of depression here:

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