camilaheard09 camilaheard09
  • 16-11-2020
  • Mathematics
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Consider this right triangle. R 9 55° Q P Enter the length of RQ, to the nearest tenth.​

Consider this right triangle R 9 55 Q P Enter the length of RQ to the nearest tenth class=

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eudora eudora
  • 24-11-2020

Answer:

RQ = 7.4

Step-by-step explanation:

From the right triangle PQR,

m∠Q = 90°

m∠P = 55°

Hypotenuse PR = 9

By applying sine rule in the given triangle,

Sin(55°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

0.819152 = [tex]\frac{\text{RQ}}{\text{PR}}[/tex]

0.819152 = [tex]\frac{RQ}{9}[/tex]

RQ = 9×0.819152

RQ = 7.37

     ≈ 7.4

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