Question
- 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?
ground level.
a) If the exit ramp is to rise at an angle of
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
Upstudy AI Solution
Tutor-Verified Answer
Answer
a) Length of the ramp: 30.90 m
b) Horizontal distance needed: 29.85 m
b) Horizontal distance needed: 29.85 m
Solution

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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:
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
.