Question

What is the value of X in the given triangle?

Answer 1

Answer: x = 65.4

==================================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(x) = 5/12

x = arccos(5/12)

x = 65.375681647836 which is approximate

x = 65.4 after rounding to one decimal place

Make sure your calculator is in degree mode. The arccosine function is the same as the inverse cosine function (shortened to $\cos^{-1}$ ).