A boat on the ocean is scanning the depths for a sunken ship. When they find it, their scanner tells them it is 8,137 ft from the boat, directly to the sunken ship. They also measure an angle of depression of 72 degrees from their boat to the sunken ship. How far underwater is the sunken ship?

A boat on the ocean is scanning the depths for a sunken ship. When they find it, their scanner tells them it is 8,137 ft from the boat, directly to the sunken ship. They also measure an angle of depression of 72 degrees from their boat to the sunken ship. How far underwater is the sunken ship?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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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

A boat on the ocean is scanning the depths for a sunken ship. When they find it,
their scanner tells them it is 8,137 ft from the boat, directly to the sunken ship. They
also measure an angle of depression of 72 degrees from their boat to the sunken
ship. How far underwater is the sunken ship?

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