11
QuizMultiple Choice

Chapter 9 Unit TEST: Right Triangle and Trigonometry

Question 11 • (OC27) GEO-1206310-S2-Degele-VOL7006P

To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle.

Answer
A
33.6°
B
39.8°
C
50.2°
D
56.4°

Explanation

The wire, tree, and ground form a right triangle. If the angle is where the wire meets the ground, the 10-foot height is opposite that angle and the 12-foot wire is the hypotenuse, so sin(angle) = 10/12. Taking the inverse sine gives about 56.4°, which is choice D.

AI-written and checked against the verified answer.

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