Question

In ASTU, SU = 18 and TU = 13. Find m
42.2

41.6

54.2

35.8

Answer 1

54.2

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