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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 11 feet from the bottom of the pole. Find the length of the rope. (Round to the nearest tenth of a foot, if necessary).

Respuesta :

Answer:

length of rope is 13.04 feet

Explanation:

Given data

high = 7 feet

from the bottom  = 11 feet

to find out

length of rope

solution

we use here Pythagorean Theorem

we know length of rope is here hypotenuse

so h² = 7² + 11²

so h = [tex]\sqrt{49 + 121}[/tex]

h =  [tex]\sqrt{170}[/tex]

h =  13.038 ft

so length of rope is 13.04 feet

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