Question

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? Please show all work in order to receive full credit.

Answer 1

To find the vertical height of the slide, we can use trigonometry.

We are given the length of the slide is 4.1 m and the angle with the ground is 40°.

Let's call the vertical height of the slide h.

Using trigonometry, we can say that:

h = length of the slide * sin(angle)

h = 4.1 * sin(40°)

h = 4.1 * 0.64278760968

h ≈ 2.63

Therefore, the top of the slide is approximately 2.63 meters above the ground.