SOLUTION: Scott set up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 6 feet high. To secure the pole, he attached a rope from the top of t

Algebra ->  Angles -> SOLUTION: Scott set up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 6 feet high. To secure the pole, he attached a rope from the top of t      Log On


   



Question 869680: Scott set up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 6 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 3 feet from the bottom of the pole. To the nearest tenth of a foot, find the length of the rope.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The pole, ground and and the rope form a right triangle
pole is vertical
Rope will be the hypotenuse
pole = leg1
ground distance = leg2
leg1^2+leg2^2=hypotenuse^2
6^2+3^2= hypotenuse^2
36+9=hypotenuse^2
45 = hypotenuse^2
take square root
Hypoteuse = 3sqrt(5)
length of rope = 3sqrt(5)