From the floor of a canyon it takes 62 ft of rope to reach the top of one canyon wall and 86 feet to reach the top of the opposite wall. If 2 ropes make an angle of 123 degrees, what is the distance, d from the top of one canyon wall to the other?

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Answer 1 · 2018-04-10T04:48:57

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Using cosine law we have

#d^2=62^2+86^2-2*62*86*cos123^@#

#d=sqrt(62^2+86^2-2*62*86*cos123^@)~~130.6ft#