You are standing on a 12 foot high diving board looking down at your friend across the pool. The lifeguard estimates that the angle of depression from you to your friend is 31 degrees. If you are standing directly above the base of the diving board, how far away from the base of the diving board is your friend? Give answer to the nearest foot. Do not include units.

You are standing on a 12 foot high diving board looking down at your friend across the pool. The lifeguard estimates that the angle of depression from you to your friend is 31 degrees. If you are standing directly above the base of the diving board, how far away from the base of the diving board is your friend? Give answer to the nearest foot. Do not include units.

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

You are standing on a 12 foot high diving board looking down at your friend across the pool. The
lifeguard estimates that the angle of depression from you to your friend is 31 degrees. If you are
standing directly above the base of the diving board, how far away from the base of the diving board
is your friend?
Give answer to the nearest foot. Do not include units.
DELL

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