Question

Find QR.
Write your answer as an integer or as a decimal rounded to the nearest tenth.

Answer 1

QR ≈ 9.1

Explanation:

using the cosine ratio in the right triangle

cos49° =
`(adjacent)/(hypotenuse)` =
`(PR)/(QR)` =
`(6)/(QR)` ( multiply both sides by QR )

QR × cos49° = 6 ( divide both sides by cos49° )

QR =
`(6)/(cos49)` ≈ 9.1 ( to the nearest tenth )