Two scuba divers are 20m apart below the surface of the water. They both spot a shark that is below them. The angle of depression from diver 1 to the shark is 47 degrees and the angle of depression from diver 2 to the shark is 40 degrees. How far are each of the divers from the shark?

Two scuba divers are 20m apart below the surface of the water. They both spot a shark that is below them. The angle of depression from diver 1 to the shark is 47 degrees and the angle of depression from diver 2 to the shark is 40 degrees. How far are each of the divers from the shark?

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

Two scuba divers are 20m apart below the surface of the
water. They both spot a shark that is below them. The
angle of depression from diver 1 to the shark is 47 degrees
and the angle of depression from diver 2 to the shark is 40
degrees. How far are each of the divers from the shark?

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