Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle of elevation of the tree from one position on a flat path from the tree is H = 50°, and from a second position L%=50 feet farther along this path it is B= 30°, What is the height of the tree? The height of the tree is approximately ft. (Do not round until the final answer. Then round to the nearest tenth as needed.)

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.1: Solving Trigonometric Equations
Problem 94PS
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Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle of elevation of the tree from one position on a flat path from the tree is H= 50°, and from
L= 50 feet farther along this path it is B = 30°, What is the height of the tree?
second position
The height of the tree is approximately ft.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Transcribed Image Text:Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle of elevation of the tree from one position on a flat path from the tree is H= 50°, and from L= 50 feet farther along this path it is B = 30°, What is the height of the tree? second position The height of the tree is approximately ft. (Do not round until the final answer. Then round to the nearest tenth as needed.)
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