endergirl2309019 endergirl2309019
  • 24-02-2021
  • Mathematics
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In APQR, p = 690 cm, a = 290 cm and r=450 cm. Find the measure of ZQ to the
nearest 10th of a degree.

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sqdancefan
sqdancefan sqdancefan
  • 25-02-2021

9514 1404 393

Answer:

  16.8°

Step-by-step explanation:

The Law of Cosines can be rearranged to give the angle measure.

  angle Q = arccos((p² +r² -q²)/(2pr))

  angle Q = arccos((690² +450² -290²)/(2×690×450))

  angle Q = arccos(594500/621000) ≈ 16.7985°

The measure of angle Q is about 16.8°.

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