17. An observer at the top of a 50m lighthouse sights a boat out at sea at an angle of depression of 15°. A short while later, the same boat is at an angle of depression of 22° along the same line of sight. To the nearest meter, how far did the boat travel?

17. An observer at the top of a 50m lighthouse sights a boat out at sea at an angle of depression of 15°. A short while later, the same boat is at an angle of depression of 22° along the same line of sight. To the nearest meter, how far did the boat travel?

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

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17. An observer at the top of a 50m lighthouse sights a boat out at sea at an angle
of depression of 15°. A short while later, the same boat is at an angle of
depression of 22° along the same line of sight. To the nearest meter, how far
did the boat travel?
A 6 m
B 7 m
C 20 m
D 63 m
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