To help a young tree grow straight, a gardener attaches three guy wires to it and the ground. She places the wires two feet below the top of the tree. If the wires are ten feet long and each makes an angle of 58 degrees with the ground. Find the height of the tree.

h = 2+10sin58°

To find the height of the tree, we can use trigonometry and the given information about the guy wires.

Let's break down the problem step by step:

1. Start by drawing a diagram of the situation. Draw a triangle representing the tree, the wires, and the ground.

2. Label the height of the tree as "h", the distance from the top of the tree to the wires as "x", and the length of the wires as "10 feet".

3. Since each wire makes an angle of 58 degrees with the ground, write down the equation: sin(58°) = h/10.

4. We can rearrange the equation to solve for h: h = 10 * sin(58°).

5. Now, plug in the values into a calculator: h ≈ 10 * 0.848 ≈ 8.48 feet.

Therefore, the height of the tree is approximately 8.48 feet.