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?

Answer 1

56.4 degrees

the sing of the two pionts and numbers if put through a calculator corectly would equal 56.4 degrees.

Answer 2

Choice given:
33.6°
39.8°
50.2°
56.4°

I drew the figure.
I got 12 ft as the hypotenuse, 10 ft as the opposite.

SinΘ = opposite / hypotenuse
SinΘ = 10/12
SinΘ = 0.83

I used the calculator to get the value of each angle using the sine function
sin(33.6°) = 0.55
sin(39.8°) = 0.64
sin(50.2°) = 0.77
sin(56.4°) = 0.83

The angle where the wire meets the ground is approximately 56.4°