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Step-by-step explanation:
use CAH method (Cos angle = adjacent/hypotenuse)
Given adjacent = 5
Hypotenuse = 12,
[tex] \cos(x) = \frac{adjacent}{hypotenuse} \\ \cos(x) = \frac{5}{12} \\ x = {cos}^{ - 1} ( \frac{5}{12} ) \\ = 65.4deg(nearest \: tenth)[/tex]