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Answer:
54.2
Step-by-step explanation:
we want to find m∠T
Recall the three main trig functions
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
we are given the side length opposite of ∠T ( SU ) and the adjacent (TU)
when dealing with the opposite and adjacent we use tan
tan = opposite / adjacent
opposite (SU) = 18 and adjacent (TU) = 13 ( let ∠T = x )
So tan(x) = 18/13
* take the inverse tan of both sides *
arctan(tan(x)) = x
acrtan (18/13) = 54.2
we're left with x = 54.2 meaning that ∠T = 54.2
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