Question

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.

Answer 1

Answer: The tree house is 8 feet off the ground, or 96 inches up because (8)(12) = 96. Each knot needs 2 extra inches, so the expression for the length of rope needed is 96 + 2n. If n = 8, then Peter will need 96 + 2(8) = 112 inches of rope.

Step-by-step explanation: plz mark brainiest

Answer 2

The rope is anchored 5.3 feet from the tree

How to determine the distance between the tree and the anchor?

Represent the required distance with x

Using the Pythagoras theorem, we have:

8^2 = 6^2 + x^2

Evaluate the squares

64 = 36 + x^2

Evaluate the like terms

x^2 = 28

Take the square of both sides

x = 5.3

Hence, the rope is anchored 5.3 feet from the tree

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