Question

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

Answer 1

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.