What is the value of x in this triangle?
enter your answer as a decimal in the box. round only
your final answer to the nearest hundredth. show your work

For this type of problem I would use my trig functions. not sure if it is still taught this way but I learned the story of the "native American " SOH-CAH-TOA

This name is an acronym for the trig functions

SOH

sin (x) = opposit/hypotonusus

CAH

cos (x) = adjacent /hypotonusus

TOA

tan (x) = opposite /adjacent

so for this problem because of the sides you were given I would use cos (x) =adjacent /hypotonusus

so the setup is

cos (x) = 32/58

so

x = cos^-1 (32/58)