Question

The distance from the base of the tree to the tip of the shadow is 24 feet.
Sin 20 degrees = 0.3420
Cos 20 degrees = 0.9396
Tan 20 degrees = 0.3639
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Which measurement is closest to the heigh of the tree?
A. 8.2
B. 8.7
C. 22.6
D. 25.54
E. 65.95

Answer 1

The measurement is closest to height of tree is 8.7

The correct option is (B).

What is trigonometry?

The branch of mathematics concerned with specific functions of angles and their application to calculations.

As the distance between base and tip of tree's shadow is 24 feet

Angle of Elevation is  20 degrees

$tan \theta \; = \frac{P}{B}$

tan 20 = $\frac{P}{24}$

0.3639 = $\frac{P}{24}$

P= 0.3639 *24

P = 8.7336

The measurement is closest to height of tree is 8.7

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