21
practice examMultiple Choice

Practice Exam

Question 21 • TPS EdX Geometry

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. At approximately what angle does the wire meet the ground?

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

Explanation

The wire, tree, and ground form a right triangle. For the angle where the wire meets the ground, the 10-foot height is opposite and the 12-foot wire is the hypotenuse, so sin(θ) = 10/12 and θ ≈ 56.4°. The correct choice is 56.4 degrees.

AI-written and checked against the verified answer.

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