+0  
 
+1
47
4
avatar+803 

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?

 

 

Lightning  Oct 29, 2018
 #1
avatar+2742 
+1

two right triangles.. you can figure it out

Rom  Oct 29, 2018
 #2
avatar+3270 
+1

Use the right angles, and also you the location where Paul is at.

tertre  Oct 29, 2018
 #3
avatar+13578 
+1

Two right triangles with legs   5 and 12       and   9  and 12      Use pythagorean theorem to calculate and add the hypotenuses together.....

ElectricPavlov  Oct 29, 2018
 #4
avatar+90995 
+1

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

 

 

cool cool cool

CPhill  Oct 30, 2018

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