A slide is 4.1 m long and makes an angle with the ground of 40° to the nearest hundredth of a meter how far above the ground is the top of the slide
To find how far above the ground the top of the slide is, we can use trigonometry.
We are given the length of the slide (4.1 m) and that it makes an angle of 40° with the ground.
Let's label the height of the slide as "h".
We can use the sine function, which relates the opposite side (in this case, the height) to the hypotenuse (in this case, the length of the slide):
sin(angle) = opposite/hypotenuse
sin(40°) = h/4.1
To find h, we can rearrange the equation:
h = sin(40°) * 4.1
Using a calculator, we can find that sin(40°) ≈ 0.6428.
Substituting this value into the equation, we get:
h ≈ 0.6428 * 4.1 ≈ 2.63 m
Therefore, the top of the slide is approximately 2.63 meters above the ground.