A side 2.8m long makes an angle of 25 degrees with the ground how high is the top of the slide above the ground .

Try reviewing your trig functions and post an attempt at some of these. We'll be happy to check your work.

They're all pretty straightforward applications of the definitions of trig functions and Pythagorean Theorem.

To find the height of the top of the slide above the ground, we can use trigonometry. We know the length of one side of a right-angled triangle (the slide) and the angle that this side makes with the ground.

In this case, the side of the triangle (slide) is 2.8m long, and the angle it makes with the ground is 25 degrees. We need to find the height of the top of the slide, which corresponds to the side opposite the 25-degree angle in the triangle.

Here's how you can calculate it using trigonometry:

1. Identify the side you want to find (the height of the top of the slide) and mark it as "h."
2. Identify the known side (the slide) and mark it as "a." In this case, a = 2.8m.
3. Identify the angle between the ground and the height of the slide and mark it as "θ." In this case, θ = 25 degrees.
4. Use the trigonometric function "sine" to calculate the height (h):

h = a * sin(θ)

Plugging in the values we have:

h = 2.8m * sin(25 degrees)

5. Use a scientific calculator to find the sine of 25 degrees. The sine of an angle can be found by pressing the "sin" button on the calculator and entering the angle in degrees.

sin(25 degrees) ≈ 0.4226

6. Calculate the height of the top of the slide:

h = 2.8m * 0.4226 ≈ 1.18m

Therefore, the height of the top of the slide above the ground is approximately 1.18m.