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# Geometry

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A "slackrope walker" is much like a tightrope walker except that the rope on which he performs is not pulled tight. Paul, a slackrope walker, has a rope tied to two 15 m high poles which are 14 m apart. When he is standing on the rope 5m away from one of the poles, he is 3m above the ground. How long in meters is the rope? Oct 29, 2018

#1
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two right triangles.. you can figure it out

Oct 29, 2018
#2
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Use the right angles, and also you the location where Paul is at.

Oct 29, 2018
#3
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Two right triangles with legs   5 and 12       and   9  and 12      Use pythagorean theorem to calculate and add the hypotenuses together.....

Oct 29, 2018
#4
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Triangle on the left hypotenuse  =  sqrt [  5^2  + (15 - 3)^2  ] =  sqrt [ 5^2 + 12^2 ] =

sqrt [ 25 + 144 ]  = sqrt [ 169 ]  = 13 ft

Triangle on the right  hypenuse =  sqrt [ (14 - 5)^2  + (15 -3)^2 ]    sqrt [ 9^2 + 12^2 ]  =

sqrt [ 81 + 144]   =  sqrt [ 225]  = 15 ft

So...the rope length is   13 + 15  =   28 ft   Oct 30, 2018