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?

A) 33.6°
B) 39.8°
C) 50.2°
D) 56.4°

Answer 1

The angle is 56.44º

Explanation:

We propose the exercise in terms of the rectangular triangle that forms between the tree, the ground and the wire because the exercise propose that the tree meets the ground at a right angle. For this we can see the attached figure.

We need to find the angle between the cable and the ground, and in the figure it is β , if we have the length of the cable and the height of the tree we can say that :

`Sen \beta =(10)/(12)`

Then β is:

`\beta =ArcSen((10)/(12) )`

`\beta =56.44^`