Height of a Tower A six-foot person walks fromthe base of a broadcasting tower directly toward the tipof the shadow cast by the tower. When the person is132 feet from the tower and 3 feet from the tip of theshadow, the person’s shadow starts to appear beyondthe tower’s shadow.(a) Draw a right triangle that gives a visual representationof the problem. Label the known quantities of thetriangle and use a variable to represent the height ofthe tower.(b) Use a trigonometric function to write an equationinvolving the unknown quantity.(c) What is the height of the tower?
Height of a Tower A six-foot person walks fromthe base of a broadcasting tower directly toward the tipof the shadow cast by the tower. When the person is132 feet from the tower and 3 feet from the tip of theshadow, the person’s shadow starts to appear beyondthe tower’s shadow.(a) Draw a right triangle that gives a visual representationof the problem. Label the known quantities of thetriangle and use a variable to represent the height ofthe tower.(b) Use a trigonometric function to write an equationinvolving the unknown quantity.(c) What is the height of the tower?
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section: Chapter Questions
Problem 93RE
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Question
Height of a Tower A six-foot person walks from
the base of a broadcasting tower directly toward the tip
of the shadow cast by the tower. When the person is
132 feet from the tower and 3 feet from the tip of the
shadow, the person’s shadow starts to appear beyond
the tower’s shadow.
(a) Draw a right
of the problem. Label the known quantities of the
triangle and use a variable to represent the height of
the tower.
(b) Use a trigonometric
involving the unknown quantity.
(c) What is the height of the tower?
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