To find the height of the top of the slide above the ground, you can use trigonometry. Specifically, you can use the sine function, which relates the length of the opposite side (the height of the slide from the ground) to the hypotenuse (the length of the slide).
Here's how you can calculate it:
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Identify the known values:
- Length of the slide (hypotenuse) = 4.1 m
- Angle with the ground = 35°
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Use the sine function to find the height: \[ \text{Height} = \text{Hypotenuse} \times \sin(\text{Angle}) \] \[ \text{Height} = 4.1 , \text{m} \times \sin(35°) \]
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Calculate \(\sin(35°)\): Using a calculator, \(\sin(35°) \approx 0.5736\).
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Now calculate the height: \[ \text{Height} \approx 4.1 , \text{m} \times 0.5736 \approx 2.35 , \text{m} \]
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Rounding to the nearest tenth: \[ \text{Height} \approx 2.4 , \text{m} \]
So the answer is 2.4 m.
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