.) A man is in a boat that is floating 175 feet from the base of a 200-foot cliff. What is the angle of depression between the cliff and the boat?

The angle of depression is 41.186°

Step-by-step explanation:

This problem can be thought of as a right triangle

well to start we have to know the relationship between angles, legs and the hypotenuse  in a right triangle

α = angle of depression

a: adjacent  = 200ft

o: opposite  = 175ft

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, opposite)

we look at which meets those data between the sine, cosine and tangent

is the tangent

tan α = o/a

Now we replace the values and solve

tan α = 175ft / 200ft

tan α = 0.875

α = tan ^-1 (0.875)

α = 41.186°

The angle of depression is 41.186°

answer

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step-by-step explanation:

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step-by-step explanation: