Question

Find the value of sin S rounded to the nearest hundredth, if necessary.

Answer 1

Explanation:

sin angle S =
`(opposite)/(hypotenuse)`

sin S =
`(30)/(hypotenuse)`

To complete the ratio we need to find the hypotenuse:

a² + b² = c²

16² + 30² = c²

256 + 900 = c²

1156 = c²

√1156 = √c²

34 = c

Now substitute 34 in the sin ratio:

`(30)/(34)` = .8824

nearest hundredth = .88