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°

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 :

[tex]Sen \beta =\frac{10}{12}[/tex]

Then β is:

[tex]\beta =ArcSen(\frac{10}{12} )[/tex]

[tex]\beta =56.44^[/tex]

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°

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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°