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LuckyWell [14K]
3 years ago
7

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. T

he tree meets the ground at a right angle. At approximately what angle does the wire meet the ground?
33.6
39.8
50.2
56.4

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0

Answer:

(D)56.4

Step-by-step explanation:

According to the question, Let AB=10, AC=12 and m∠B=90°.

Thus, from ΔABC, using trigonometry, we have

\frac{AB}{AC}=sinx

\frac{10}{12}=sinx

\frac{5}{6}=sinx

sinx=0.83

x=sin^{-1}(0.83)

x=56.4

Therefore, at x=56.4 the wire meet the ground.

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