Question

In ΔSTU, the measure of ∠U=90°, UT = 80, SU = 39, and TS = 89. What ratio represents the tangent of ∠S?

Answer 1

`(80)/(39)`

Explanation:

SOHCAHTOA

O =Opposite

A = Adjacent

H = Hpotenuse

If we draw it out we can see that the opposite side is the UT and adjacent side is SU for ∠S.

When an angle is asked for like here is S so the opposite side of the angle is the opposite side. and the angle close to it is the adjacent. The biggest side is the hypotenuse.