A shark is swimming 28 feet below sea level. If the angle of depression from a boat on the water to the shark is 19 degrees, what is the horizontal distance between the boat and the shark? Round your answer to the nearest foot.

The answer to your question is the horizontal distance = 81.32 ft

Step-by-step explanation:

Data

depth = 28 ft

angle = 19°

horizontal = ?

To solve this problem, use trigonometric functions. The trigonometric function that relates the opposite side and the adjacent side is the tangent.

tan Ф = Opposite side/Adjacent side

-Solve for adjacent side

Adjacent side = Opposite side / tanФ

-Substitution

Adjacent side = 28 / tan 19

-Simplification

Adjacent side = 28 / 0.3443

-Result

Adjacent side = 81.32 ft