Question

a newly planted tree needs to be stacked with wires. each wire is attached to the trunk 3 feet above the ground, and then anchored to the ground 4 feet from the base of the tree. how much wire needed for 6 trees.​

Answer 1

90 feet of wire is needed for 6 trees

Solution:

The wire , the distance away from the  trunk and the trunk forms a right  angled triangle

wire = hypotenuse

trunk = height

The distance on the ground  to the peg from the trunk  = base

Each wire is attached to the trunk 3 feet above the ground, and then anchored to the ground 4 feet from the base of the tree

Therefore,

height = 3 feet

other leg = 4 feet

hypotenuse = ?

Let "c" be the feet of wire needed

By pythogoras theorem for right angles triangle,

$hypotenuse^2 = opposite^2 + base^2$

Therefore,

$c^2 = 3^2+4^2\\\\c^2 = 9 + 16\\\\c^2 = 25\\\\c = 5$

This means each wire will be 5 feet long

There are 3 wires per tree, which gives us 5 x 3 = 15 feet

There are 6 tree, so this is 15 x 6 = 90 feet of wire

Thus 90 feet of wire is needed for 6 trees