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?

33.6
39.8
50.2
56.4

Respuesta :

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

[tex]\frac{AB}{AC}=sinx[/tex]

[tex]\frac{10}{12}=sinx[/tex]

[tex]\frac{5}{6}=sinx[/tex]

[tex]sinx=0.83[/tex]

[tex]x=sin^{-1}(0.83)[/tex]

[tex]x=56.4[/tex]

Therefore, at [tex]x=56.4[/tex] the wire meet the ground.

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Answer:

56.4

Step-by-step explanation:

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