Question

1. Trey just planted a small tree. He wanted to help it grow straight so he anchored the tree to the ground in three places using equal lengths of wire. The wires are tied to the tree 8 feet above the base of the tree. If Trey anchored each wire to the ground 6 feet from the base of the tree, what length of wire, in feet, is required for each anchor?

Answer 1

Answer:The correct answer is:

90 feet.

Explanation:

Each wire forms a right triangle with the tree and the ground. The height from the ground to the point on the tree the wire is attached to, 3 feet, is one leg. The length from the tree to where the wire is staked in the ground, 4 feet, is the other leg.

We use the Pythagorean theorem to find the hypotenuse: 3²+4²=c²; 9+16=c²; 25=c²; √25=√(c²); 5=c

This means each wire will be 5 feet long. There are 3 wires per tree, which gives us 5*3 = 15 feet. There are 6 tree, so this is 15*6 = 90 feet of wire.

Step-by-step explanation: