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amm1812
3 years ago
10

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?
Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

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

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