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The distance between the ground and the top of the slide is 2.4 meters.

Given:

The length of the slide is 4.1 meters.

The angle between slide and ground is 35 degrees.

To find:

The distance between the ground and the top of the slide.

Explanation:

Let [tex]x[/tex] be the distance between the ground and the top of the slide.

Using the given information draw a figure as shown below.

In the below figure,

[tex]\sin 35^\circ=\dfrac{x}{4.1}[/tex]

[tex]\sin 35^\circ\times 4.1=x[/tex]

[tex]2.35166...=x[/tex]

[tex]x\approx 2.4[/tex]

Therefore, the distance between the ground and the top of the slide is 2.4 meters.

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