A 120-foot vertical tower is built on the side of a hill that makes a 6° angle with the horizontal (see figure). Find the length of each of the two guy wires that will be anchored 75 feet uphill and downhill from the base of the tower. (Note that x = 120 in the figure. Round your answers to one decimal place.) shorter wire ft longer wire ft x ft 75 ft 75 ft XXXX

A 120-foot vertical tower is built on the side of a hill that makes a 6° angle with the horizontal (see figure). Find the length of each of the two guy wires that will be anchored 75 feet uphill and downhill from the base of the tower. (Note that x = 120 in the figure. Round your answers to one decimal place.) shorter wire ft longer wire ft x ft 75 ft 75 ft XXXX

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 120-foot vertical tower is built on the side of a hill that makes a 6° angle with the horizontal (see figure). Find the length
of each of the two guy wires that will be anchored 75 feet uphill and downhill from the base of the tower. (Note that
x = 120 in the figure. Round your answers to one decimal place.)
shorter wire
ft
longer wire
ft
x ft
6°
75 ft
75 ft

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