Answer:
x = 52.8°
Explanation:
SOHCAHTOA:
1) SOH: Sine = Opposite over Hypotenuse
2) CAH: Cosine = Adjacent over Hypotenuse
3) TOA: Tangent = Opposite over Adjacent
We can use the cosine function. Cosine is the adjacent side over the hypotenuse, and those are the values given by the figure for the unknown angle, x.
Adjacent = 7.9
Hypotenuse = 15
Cosine(x) = (7.9/15)
Cosine(x) = 0.526667
x = 52.8°