a slide is 4.1 m long and makes an angles with the ground of 40 degrees. To the nearest hundredth of a meter, how far above the ground is the top of the slide?

Answer 1

To solve this problem, we can use trigonometry.

Let's assume that the height of the slide is h meters.

The angle between the slide and the ground is 40 degrees.

Using trigonometry, we can use the sine function to find the height:

sin(40°) = h / 4.1

To find h, we can rearrange the equation:

h = 4.1 * sin(40°)

Using a calculator, we can find that sin(40°) ≈ 0.64.

Therefore,

h = 4.1 * 0.64 ≈ 2.624 meters

To the nearest hundredth of a meter, the top of the slide is approximately 2.62 meters above the ground.