Question
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  1. An underground parking lot is being constructed 8.00 m below
    ground level.
    a) If the exit ramp is to rise at an angle of , how long will the
    ramp be? Round your answer to the nearest hundredth of a metre
    b) What horizontal distance, to the nearest hundredth of a metre, is
    needed for the ramp?

Ask by Wood Tucker. in Canada
Dec 16,2024

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Tutor-Verified Answer

Answer

a) Length of the ramp: 30.90 m
b) Horizontal distance needed: 29.85 m

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Beyond the Answer

To find the length of the ramp, we can use the sine function. Since the ramp makes an angle of with the horizontal, we can set up the equation as follows:
where L is the length of the ramp. Rearranging gives , which calculates to approximately .
For the horizontal distance, we can use the cosine function. The formula is , where is the horizontal distance. Substituting the ramp length calculated, gives a horizontal distance of about .

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