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?
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.