darlinggalvez13 darlinggalvez13
  • 10-04-2021
  • Mathematics
contestada

In QRS the measure of S=90, the measure of Q=29 and SQ=5 feet. find the length of QR to the nearest tenth.r​

Respuesta :

jimrgrant1 jimrgrant1
  • 10-04-2021

Answer:

QR ≈ 5.7 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QS}{QR}[/tex] = [tex]\frac{5}{QR}[/tex] ( multiply both sides by QR

QR × cos29° = 5 ( divide both sides by cos29° )

QR = [tex]\frac{5}{cos29}[/tex] ≈ 5.7 ( to the nearest tenth )

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