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,
[tex]hypotenuse^2 = opposite^2 + base^2[/tex]
Therefore,
[tex]c^2 = 3^2+4^2\\\\c^2 = 9 + 16\\\\c^2 = 25\\\\c = 5[/tex]
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
