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[7] Wayne needs to know the height of a tree he wishes to cut down. From a point A on level ground he finds that the angle of elevation to the top of the tree is 38.6°. He then moves back away from the tree 60 feet from point A, and from this second point, the angle of elevation to the top of the tree is 20.8°. Find the height of the tree to the nearest foot.

[7] Wayne needs to know the height of a tree he wishes to cut down. From a point A on level ground he finds that the angle of elevation to the top of the tree is 38.6°. He then moves back away from the tree 60 feet from point A, and from this second point, the angle of elevation to the top of the tree is 20.8°. Find the height of the tree to the nearest foot.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section: Chapter Questions
Problem 1GP
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/assighments/2966849 A = 36° A' = 36° B = B’ = C = C = [7] Wayne needs to know the height of a tree he wishes to cut down. From a point A on level ground he finds that the angle of elevation to the top of the tree is 38.6°. He then moves back away from the tree 60 feet from point A, and from this second point, the angle of elevation to the top of the tree is 20.8°. Find the height of the tree to the nearest foot. [8] Lookout station P is located 23 miles due west of lookout station Q. The bearing of a fire from P is 180° and the bearing of the fire from Q is 250°. Determine the distance, to the nearest tenth of a mile, from lookout station Q to the fire.
Transcribed Image Text:/assighments/2966849 A = 36° A' = 36° B = B’ = C = C = [7] Wayne needs to know the height of a tree he wishes to cut down. From a point A on level ground he finds that the angle of elevation to the top of the tree is 38.6°. He then moves back away from the tree 60 feet from point A, and from this second point, the angle of elevation to the top of the tree is 20.8°. Find the height of the tree to the nearest foot. [8] Lookout station P is located 23 miles due west of lookout station Q. The bearing of a fire from P is 180° and the bearing of the fire from Q is 250°. Determine the distance, to the nearest tenth of a mile, from lookout station Q to the fire.
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