Express sin T as a fraction in simplest terms.

Answer:
sinT = [tex]\frac{15}{17}[/tex]
Step-by-step explanation:
We require to calculate RT before obtaining sinT
Using Pythagoras' identity in the right triangle
RT² = 30² + 16² = 900 + 256 = 1156 ( take the square root of both sides )
RT = [tex]\sqrt{1156}[/tex] = 34 , then
sinT = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{30}{34}[/tex] = [tex]\frac{15}{17}[/tex]