Respuesta :

angle T = arctan(18/13)

= 54.16 = 54.2 degrees

Answer:

Measure of ∠T = 54.2°

Step-by-step explanation:

In the given triangle STU, SU = 18 and TU = 13.

We have to find the measure of angle T.

Since tanT = [tex]\frac{Height}{Base}[/tex]

tanT = [tex]\frac{SU}{TU}[/tex]

tanT = [tex]\frac{18}{13}[/tex]

∠T = [tex]tan^{-1}(1.3846)[/tex]

∠T = 54.16 ≈ 54.2°