Question

A slide 3.1 m long makes an angle of 35° with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?

Answer 1

Height of the slide from the ground = 1.80 m

Explanation:

In this question the given values are length of the slide is 3.1 m and the angle of slide with the ground = 35°

Now if we imagine the triangle formed by slide and ground will be a right angle triangle so we can apply sin rule to get the height of the slide from the ground.

Now we know sin ∅ = height / hypotenuse

Here ∅ = 35° and hypotenuse = 3.1

Therefore sin∅ =
`(x)/(3.1)`

Or height x = 3.1 sin 35°

x = (3.1) × (.57) = 1.77 ≈ 1.80 m

The height of the slide from the ground is 1.80 m.