The length of the hypotenuse is 10 feet while it makes an angle of 45° with the ground. Find the height of the top of the slide from ground?
- √2 feet
- 3√2 feet
- 5√2 feet
- None of these
Explanation
Using trigonometry, specifically the sine function:
sin(θ) = opposite side (height) / hypotenuse
Given:
θ = 45°
hypotenuse = 10 feet
Rearrange the formula to solve for height:
height = hypotenuse × sin(45°)
= 10 × (√2 / 2)
= 10 × √2 / 2
= 5√2 feet
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