A construction company is assembling a slide in a children's playground. The slide is 7.9 m long. If the slide can have a maximum slope of 33°, how high can the top of the slide be?

Answer 1

To determine the maximum height of the slide, we first need to break down the given information.

The length of the slide, L, is 7.9 m, and the maximum slope angle, θ, is 33°.

We can use trigonometric ratios to find the relationship between the length and height of the slide.

In this case, the ratio that relates the opposite side (height) to the adjacent side (length) is the tangent function.

The tangent function is given by: tan(θ) = opposite / adjacent

We can rearrange this equation to solve for the height:

tan(θ) = opposite / adjacent
tan(33°) = height / 7.9 m

Now we can solve for the height:

height = tan(33°) * 7.9 m
height ≈ 0.649 * 7.9 m

Therefore, the top of the slide can be approximately 5.12 m high.

Answer 2

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Answer 3

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Answer 4

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Answer 5

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