susanhaim7282 susanhaim7282
  • 03-04-2021
  • Mathematics
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In PQR the measure of R=90 the measure of P=62 and RP=8.6 find the length of QR to the nearest tenth of a foot.

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eudora eudora
  • 03-04-2021

Answer:

QR = 4.6 ft

Step-by-step explanation:

By applying tangent rule in the given triangle PQR,

tan(62°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{8.6}{QR}[/tex]

QR = [tex]\frac{8.6}{\text{tan}(62)}[/tex]

QR = 4.573

QR ≈ 4.6 ft

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