A slide is 4.1 m long and makes an angle with the ground of 40 deg To the nearest hundredth of a meter, how far above the ground is the top of the slide? Please show all work in order to receive full credit
To find the distance above the ground of the top of the slide, we can use trigonometry.
We know that the length of the slide is 4.1 meters and that it makes an angle of 40 degrees with the ground.
Let's call the distance above the ground "h". We can use the trigonometric function sine to relate the angle with the ground and the height of the slide.
sin(40 degrees) = h / 4.1 meters
To solve for h, we can rearrange the equation:
h = 4.1 meters * sin(40 degrees)
Using a calculator, we find that sin(40 degrees) is approximately 0.6428.
h = 4.1 meters * 0.6428
h ≈ 2.63508 meters
To the nearest hundredth of a meter, the top of the slide is approximately 2.64 meters above the ground.