Question

Find RS.

S
390
4
R.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
RS =

Answer 1

RS ≈ 6.4

Explanation:

Using the sine ratio in the right triangle

sin39° =
`(opposite)/(hypotenuse)` =
`(QR)/(RS)` =
`(4)/(RS)` ( multiply both sides by RS )

RS × sin39° = 4 ( divide both sides by sin39° )

RS =
`(4)/(sin39)` ≈ 6.4 ( to the nearest tenth )