Question

Express sin T as a fraction in simplest terms.

Answer 1

sinT =
`(15)/(17)`

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 =
`√(1156)` = 34 , then

sinT =
`(opposite)/(hypotenuse)` =
`(RS)/(RT)` =
`(30)/(34)` =
`(15)/(17)`