Answer:
D. 65
Step-by-step explanation:
First, I found the hypotenuse. Using the pythagorean theorum, you would get ≈14.3 as the length of the hypotenuse.
Then, you want to find either the sine, cosine, or tangent of x.
sin(x) = .9091 -- opposite/hypotenuse (13/14.3)
cos(x) = .4196 -- adjacent/hypotenuse (6/14.3)
tan(x) = 2.1667 -- opposite over adjacent (13/6)
Then, choose any one of those (I chose sine) and do its inverse on your calculator.
sin^-1(.9091) = 65.38127....
Rounded to its nearest degree would be 65 degrees.
It seems like a long process but honestly, it's just calculator work. If you have a TI-84, you would press the 2nd button then SIN, COS, or TAN to get the inverse. Don't forget to make sure your calculator is in degree mode!
