A camper ties a rope from a tree to the ground to help build a shelter. The rope is 8 feet long, and it is tied 6 feet up the tree. How far from the tree is the rope anchored to the ground? Use the Pythagorean theorem to find the answer.

A camper ties a rope from a tree to the ground to help build a shelter The rope is 8 feet long and it is tied 6 feet up the tree How far from the tree is the ro class=

Respuesta :

The distance from the tree to the rope anchored to the ground is 5.3 ft

Pythagoras theorem:

  • c² = a² + b²

where

c = hypotenuse

a and b are the other legs.

Therefore,

How far the tree is anchored to the ground is the adjacent side of the triangle. Therefore,

b² = 8² - 6²

b² = 64 - 36

b = √28

b = 5.29150262213

b = 5.3 ft

learn more on Pythagoras theorem here: https://brainly.com/question/7051027?referrer=searchResults

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