You are standing on a footbridge in a city park that is 12 feet high above the pond. You look down and see a duck in the water 7 feet away from the footbridge. What is the angle of depression?

the angle of depression is 59.74°

Step-by-step explanation:

The diagram illustrating the situation is shown in the attached photo. Right angle triangle ABC is formed.

The angle of depression,θ and m∠A

are alternate angles. Therefore, m∠A = angle of depression

The height of the footbridge above the pond represents the opposite side of the triangle while the distance of the pond from the footbridge represents the adjacent side of the triangle. To determine m∠A, we would apply the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Tan m∠A = 12/7 = 1.714

m∠A = Tan^-1(1.714)

m∠A = 59.74°

12.5 feet

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