Concept explainers
Height of a Tree A tree on a hillside casts a shadow 215 ft down the hill. If the angle of inclination of the hillside is 22° to the horizontal and the angle of elevation of the sun is 52°, find the height of the tree.
To find: The height of the tree.
Answer to Problem 39E
The height of the tree is
Explanation of Solution
Given:
The length of shadow casted by the tree is
Calculation:
The below figure shows triangle
Figure(1)
From figure(1), find the angle measure of
Use Angle Sum Property in triangle
The angle measure of
In triangle
The angle measure of
Apply Law of Sines in triangle
Substitute
The length of side
Thus the height of the tree is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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