a slide 5.4 meters long makes an angle of 29 degrees with the ground. how far above the ground is the top of the slide?

This is going to involve trig functions.

you have the angle, and if you draw a triangle and fill in the numbers, you'll see that the length of the slide is the hypoteneuse of this triangle.
You are looking for the height of the triangle, which is the side opposite of the angle.
The function cosine will help you here. Sine = opposite over hypoteneuse.

so:

sin29 = x/5.4

x = 2.618

The top of the slide is 2.618 meters above the ground.

To find out how far above the ground the top of the slide is, we can use trigonometry. Specifically, we can use the sine function.

The given angle is 29 degrees, and we also know the length of the slide is 5.4 meters. We are looking for the height, which is the opposite side of the angle.

Let's denote the height as h.

Using the sine function:

sin(29 degrees) = h / 5.4

To solve for h, we can rearrange the equation:

h = 5.4 * sin(29 degrees)

Now we can calculate it using a calculator or mathematical software:

h ≈ 2.61 meters

Therefore, the top of the slide is approximately 2.61 meters above the ground.