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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 $15\text{ m}$ high poles which are $14\text{ m}$ apart. When he is standing on the rope $5\text{ m}$ away from one of the poles, he is $3\text{ m}$ above the ground. How long in meters is the rope?

 Mar 25, 2020

Best Answer 

 #2
avatar+129747 
+1

See the following diagram

 

 

The slackrope walker is at "E"

 

We can form  two right triangles

One has a legs of (15 -3)   =  12   and 5

Then the hypotenuse  od this triangle =  sqrt [12^2 + 5^2] = sqrt (169) = 13  =  (DE)

This is part of the rope length

 

The other right triangle has legs of 12  and (14 - 5) = 9

The hypotenuse of this triangle is  sqrt [ 12^2 + 9^2]  =  sqrt [225]  = 15 = (BE)

This is the other part of the rope

 

The total length of the rope is (DE) + (BE) =    13 + 15  ≈  28 ft 

 

cool cool cool

 May 31, 2024
 #1
avatar+677 
0

The rope is 24 m long.

 May 29, 2024
 #2
avatar+129747 
+1
Best Answer

See the following diagram

 

 

The slackrope walker is at "E"

 

We can form  two right triangles

One has a legs of (15 -3)   =  12   and 5

Then the hypotenuse  od this triangle =  sqrt [12^2 + 5^2] = sqrt (169) = 13  =  (DE)

This is part of the rope length

 

The other right triangle has legs of 12  and (14 - 5) = 9

The hypotenuse of this triangle is  sqrt [ 12^2 + 9^2]  =  sqrt [225]  = 15 = (BE)

This is the other part of the rope

 

The total length of the rope is (DE) + (BE) =    13 + 15  ≈  28 ft 

 

cool cool cool

CPhill May 31, 2024

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