sophiebcanny sophiebcanny
  • 15-04-2021
  • Mathematics
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In AQRS, the measure of ZS=90°, the measure of ZQ=64°, and RS = 16 feet. Find the length of QR to the nearest tenth of a foot.

In AQRS the measure of ZS90 the measure of ZQ64 and RS 16 feet Find the length of QR to the nearest tenth of a foot class=

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abidemiokin
abidemiokin abidemiokin
  • 20-04-2021

Answer:

17.8

Step-by-step explanation:

Using the SOH CAH TOA identity

Opposite = 16

Hypotenuse = QR = x

Angle of elevation = 64 degrees

Sin64 = opp/hyp

Sin 64 = 16/x

x = 16/sin64

x = 16/0.8898

x = 17.8

Hence QR is 17.8 to the  nearest tenth of a foot

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