A ladder 15 m long leans against a wall making an angle of 60o with the wall. Find theheight of the wall from the point the ladder touches the wall.

To solve this problem, we can use trigonometry. Specifically, we can use the sine function, which is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.

Here are the steps:

1. Identify the sides of the triangle. The ladder forms the hypotenuse of the triangle, the wall is the side opposite the angle, and the ground is the side adjacent to the angle.

2. Set up the equation using the sine function. Sin(60) = Opposite/Hypotenuse. In this case, the opposite side is the height of the wall (which we're trying to find), and the hypotenuse is the length of the ladder.

3. Substitute the given values into the equation. Sin(60) = Height/15.

4. Solve for Height. Height = 15 * Sin(60).

5. Calculate the value. Sin(60) is equal to √3/2, so Height = 15 * √3/2 = 7.5√3.

So, the height of the wall from the point the ladder touches the wall is 7.5√3 meters.