+385 
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?
+129852 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
+129852 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
