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

56.4

Explanation:

Correct on Edge2020

Answer 2

(D)56.4

Explanation:

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

Thus, from ΔABC, using trigonometry, we have

`(AB)/(AC)=sinx`

`(10)/(12)=sinx`

`(5)/(6)=sinx`

`sinx=0.83`

`x=sin^(-1)(0.83)`

`x=56.4`

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