Question

Express sin T as a fraction in simplest terms.

Answer 1

Answer:

sinT = $\frac{15}{17}$

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  = $\sqrt{1156}$ = 34 , then

sinT = $\frac{opposite}{hypotenuse}$ = $\frac{RS}{RT}$ = $\frac{30}{34}$ = $\frac{15}{17}$