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nikklg [1K]
3 years ago
12

In APQR, p = 690 cm, a = 290 cm and r=450 cm. Find the measure of ZQ to the

Mathematics
1 answer:
katen-ka-za [31]3 years ago
3 0

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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