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.

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,

Therefore,

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

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

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