A lifeguard is 6ft above ground. Shesees a swimmer at an angle of depressionof 8°. What is the horizontal distance tothe swimmer? A child holds the string to the kite,which is flying in the air. If the angle ofdepression from the kite to the child is42° and the kite's string is 40 ft. long,how high is the kite in the sky?

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A lifeguard is 6ft above ground. She sees a swimmer at an angle of depression of 8°. What is the horizontal distance to the swimmer?

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 lifeguard is 6ft above ground. She
sees a swimmer at an angle of depression
of 8°. What is the horizontal distance to
the swimmer?

A child holds the string to the kite,
which is flying in the air. If the angle of
depression from the kite to the child is
42° and the kite's string is 40 ft. long,
how high is the kite in the sky?

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