Two birds sit at the top of two different trees 57.4 feet away from one another. The distance between the second bird and a bird watcher on the ground is 49.6 feet.

What is the angle measure, or angle of depression, between the first bird and the bird watcher?

Two trees that are 49 point 6 feet tall with a bird on top of each. Distance between the birds is 57 point 4 feet. Angle of dep

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30.2°

59.8°

40.8°

49.2°

40.83°

Step-by-step explanation:

40.83°

We are given that,

The horizontal distance between the two birds = 57.4 feet

The distance between the 2nd bird and the bird watcher = 49.6 feet

The given situation is represented by the following figure.

So, using the trigonometric form the angles in a right triangle, we have,

i.e.

i.e.

i.e.

i.e. x= 40.83°

Hence, the angle of depression between the 1st bird and the bird watcher is 40.83°.

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