anonymous
  • anonymous
To determine the distance across a straight river, a surveyor chooses two points P and Q on the bank, where the distance between P and Q is 200 m. At each of these points, a point R on the opposite bank is sighted. The angle having sides PQ and PR is measured to be 63.1º and the angle having sides PQ and QR is measure to be 80.4º. What is the distance across the river?
Mathematics
jamiebookeater
  • jamiebookeater
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phi
  • phi
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phi
  • phi
one thought is to use the law of sines to find (for example) RP then drop a perpendicular from R to the base leg PQ ( call it point A) and use sin 63.1 = RA/RP to find RA (which is the distance across the river)
anonymous
  • anonymous
Thank you phi!

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