A ship's sonar locates a treasure chest at a 12° angle of depression. A diver is lowered 40 meters to the ocean floor. How far (to the nearest meters) does the diver need to swim along the ocean floor to get the treasure chest?

The answer to your question is 8.5 m

Step-by-step explanation:

Data

angle = Ф = 12°

dept = 40 m

distance from the ship to the treasure = ?

Process

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

                      tan Ф = Opposite side / Adjacent side

-Solve for Opposite side

                      Opposite side = Adjacent side x tanФ

-Substitution

                      Opposite side = 40 x tan 12

-Simplification

                       Opposite side = 8.5 m

step-by-step explanation: 2