11
AssignmentMultiple Choice

Right Triangle Trigonometry

Question 11 • FL-1200330-Algebra 2 CR

A 9.5-foot pole casts a shadow that is 29 feet long. What is the approximate measure of angle L?

Answer
A
0.32 rad
B
1.24 rad
C
19.2 rad
D
There is not enough information to answer this question.

Explanation

The pole, its shadow, and the sun’s ray form a right triangle. For angle L at the end of the shadow, the opposite side is 9.5 feet and the adjacent side is 29 feet, so tan(L) = 9.5/29 ≈ 0.328. Taking the inverse tangent gives L ≈ 0.32 radians, so the answer is 0.32 rad.

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