# Calculating distance(law of cosines)

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Observers P and Q are located on the side of a hill that is inclined 32 degrees to the horizontal as shown(picture given). The observer at P determines the angle of elevation to a hot air balloon to be 62 degrees. At the same instant the observer at Q measures the angle of elevation to the balloon to be 71 degrees. If P is 60m down the hill from Q, find the distance from Q to the balloon.

Thanks for any input.

sorry this is law of sines.

• Calculating distance(law of cosines) -

carrot

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