Question

What is the measurement of PQ?

Answer 1

180 - 58 - 90 = 32

15/sin90 = PR/sin32

PR = 7.95

15^2 - 7.95^2 = sqrt(161.79)

PQ = 12.72

PQ = 12.72

Answer 2

`PQ=12.72`

Explanation:

Given in the right angled triangle:

QR=15, ∠R=58°

sin (A°)=
`(Perpendicular)/(Hypotenuse)`

`sin58`°
`=(PQ)/(QR)`

Given: sin 58°≈0.848

`0.848=(PQ)/(15)`

`PQ=0.848*15\\\\PQ=12.72`

So, the measure of PQ is 12.72