Answer:
[tex]m\angle T=34^o[/tex]
Step-by-step explanation:
we know that
In the right triangle STU
[tex]sin(T)=\frac{US}{ST}[/tex] ----> by SOH (opposite side divided by hypotenuse)
substitute the given values
[tex]sin(T)=\frac{4.6}{8.3}[/tex]
using a calculator
[tex]m\angle T=sin^{-1}(\frac{4.6}{8.3})=34^o[/tex]
see the attached figure to better understand tyhe problem
