Respuesta :

ryuttek

Answer:

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:

[tex]PQ=12.72[/tex]

Step-by-step explanation:

Given in the right angled triangle:

QR=15,      ∠R=58°

sin (A°)= [tex]\frac{Perpendicular}{Hypotenuse}[/tex]

                                [tex]sin58[/tex]°[tex]=\frac{PQ}{QR}[/tex]

Given: sin 58°≈0.848

                               [tex]0.848=\frac{PQ}{15}[/tex]

                                [tex]PQ=0.848*15\\\\PQ=12.72[/tex]

So, the measure of PQ is 12.72

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