A slide 4.1 meters long makes an angle of 40 degrees with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?

Answer 1

We can use trigonometry to solve this problem. The height of the slide can be found by using the sine function:

sin(angle) = opposite / hypotenuse

In this case, the angle is 40 degrees and the hypotenuse is the length of the slide, which is 4.1 meters.

sin(40 degrees) = opposite / 4.1 meters

Now, we can solve for the opposite (the height of the slide):

opposite = sin(40 degrees) * 4.1 meters

Using a calculator, sin(40 degrees) ≈ 0.64279.

opposite = 0.64279 * 4.1 meters

opposite ≈ 2.637 meters

To the nearest tenth of a meter, the top of the slide is approximately 2.6 meters above the ground.