Question

Ben set up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 7 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 10 feet from the bottom of the pole. Find the length of the rope. (Round to the nearest tenth of a foot, if necessary).

Answer 1

Answer:

The answer is 12.21 feet.

Step-by-step explanation:

The pole, ground and the rope form a right triangle  

Pole is vertical, therefore

Rope will be the hypotenuse  

pole = leg1

Ground distance = leg2  

Thus the equation becomes.

leg1^2+leg2^2=hypotenuse^2  

7^2+10^2= hypotenuse^2  

49+100=hypotenuse^2  

149 = hypotenuse^2  

Take the square root on both sides of the equation.

hypotenuse^2 = √149

Hypotenuse = 12.21

Length of rope = 12.21 feet (approximately 12 feet)