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?
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.