 # At a horizontal distance of 45 m from the bottom of a tree, the angle of elevation to the top of the tree is 26°. How tall is the tree? (See Section 1.8.) ### College Physics

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781285737027 ### College Physics

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781285737027

#### Solutions

Chapter
Section
Chapter 1, Problem 9WUE
Textbook Problem
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## At a horizontal distance of 45 m from the bottom of a tree, the angle of elevation to the top of the tree is 26°. How tall is the tree? (See Section 1.8.)

Expert Solution
To determine
The height of the tree.

### Explanation of Solution

Given info:

Horizontal distance to the tree is 45 m and the angle of elevation to the top of the tree is 26° .

From the figure the formula to calculate the height of the tree is,

H=Ltanθ

• L is the horizontal distance
• H is the height of the tree
• θ is angle of elevation to the top of the tree

Substitute 45 m for L and 26° for θ to find H

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