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5 votes
Given: m∠P = 51° and PR = 17 cm. What is QR?

Question 5 options:

21 cm


4 cm


10.7 cm


13.2 cm

Given: m∠P = 51° and PR = 17 cm. What is QR? Question 5 options: 21 cm 4 cm 10.7 cm-example-1

1 Answer

5 votes
we know that
in the right triangle PQR
sin 51°= opposite side angle 51°/hypotenuse

opposite side angle 51°=QR
hypotenuse=17 cm
so
sin 51°=QR/17------> QR=17*sin 51°-----> QR=13.21 cm-----> QR=13.2 cm

the answer is
QR=13.2 cm
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