Simon is standing on the street corner. Simon's eyes are 6 feet off of the ground. He is looking down at a cockroach on a box that is one foot off of the ground. If he is looking downward at an angle of 40°, how far is he from the cockroach?

Simon is standing on the street corner. Simon's eyes are 6 feet off of the ground. He is looking down at a cockroach on a box that is one foot off of the ground. If he is looking downward at an angle of 40°, how far is he from the cockroach?

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

4.
Simon is standing on the street corner. Simon's eyes are 6 feet off of the ground. He is looking
down at a cockroach on a box that is one foot off of the ground. If he is looking downward at an
angle of 40°, how far is he from the cockroach?

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