Question

Find QR.

Q
6
560
R
S
Write your answer as an integer or as a decimal rounded to the nearest tenth.
QR =

Answer 1

QR ≈ 5.0

Explanation:

Using the sine ratio in the right triangle

sin56° =
`(opposite)/(hypotenuse)` =
`(QR)/(QS)` =
`(QR)/(6)` ( multiply both sides by 6 )

6 × sin56° = QR , then

QR ≈ 5.0 ( to the nearest tenth )