+0

# help

-1
489
2
+384

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
+129806
+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

May 31, 2024

### 2+0 Answers

#1
+743
0

The rope is 24 m long.

May 29, 2024
#2
+129806
+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

CPhill May 31, 2024