The Garden club has planted a new tree in the school's courtyard. For support the tree is attached to a 8-ft wire and a stake in the ground. The angle of elevation with the tree is 56°. How far is the stake in the ground from the base of the tree? Round to the nearest tenth.

using the Pythagorean Theorem...

the length of wire is the hypotenuse of the right triangle whose legs are 3 feet and 4 feet

let x=length of the wire

32+42=x2

9+16=x2

25=x2 (if you are familiar, this is a 3-4-5 right triangle)

take the square root of both sides

x=5 feet for the length of one wire

there are 3 wires per tree

3*5=15 feet of wire per tree

there are 6 trees

6*15=90 feet of wire is needed altogether

2 feet deep

Step-by-step explanation: