A pine tree growing on a hillside makes a 75° angle with the hill. From a point 80 feet up the hill, the angle of elevation to the top of the tree is 62° and the angle of depression to the bottom is 22°. Find, to the nearest tenth of a foot, the height of the tree. The height of the tree is about feet. (Round to the nearest tenth as needed.) 22° 75⁰ 62°
A pine tree growing on a hillside makes a 75° angle with the hill. From a point 80 feet up the hill, the angle of elevation to the top of the tree is 62° and the angle of depression to the bottom is 22°. Find, to the nearest tenth of a foot, the height of the tree. The height of the tree is about feet. (Round to the nearest tenth as needed.) 22° 75⁰ 62°
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:A pine tree growing on a hillside makes a 75° angle with the hill. From a point 80 feet up the hill, the angle of elevation to the top of the tree is 62° and the angle of depression to
the bottom is 22°. Find, to the nearest tenth of a foot, the height of the tree.
The height of the tree is about feet.
(Round to the nearest tenth as needed.)
22°
750 620
80 ft
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Follow-up Question
where did you get 84 in the part of the equation 180-75-84? Shouldn't A be 80 ft?
I got the answer 232.6
A=80ft
a=180-75-85=20
b=22+62=84
(sin(84)X80 / sin20 =232.6
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