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

To find the height of the top of the slide above the ground, we can use trigonometry.

Let's break down the problem:

1. We have a slide that is 2.8 m long.
2. The angle formed between the slide and the ground is 25 degrees.

Now, we will use the sine function to solve for the height:

sin(angle) = opposite / hypotenuse

In this case, the height is the opposite side, and the hypotenuse is the length of the slide. So, we can rewrite the formula as:

sin(25 degrees) = height / 2.8 m

Next, we rearrange the formula to solve for the height:

height = sin(25 degrees) * 2.8 m

Now, we can calculate the height by plugging the values into a calculator or using a trigonometric table:

height ≈ sin(25 degrees) * 2.8 m ≈ 1.182 m

Therefore, the top of the slide is approximately 1.182 meters above the ground.

h/2.8 = sin 25°