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Ramps in a parking garage need to be safe and steep. The maximum safe incline for a ramp at 8.5°. Is this ramp safe? Explain how you know using your math to justify your answer.

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Ramps in a parking garage need to be safe and steep. The maximum safe incline for-example-1
User Redmen Ishab
by
3.2k points

1 Answer

24 votes
24 votes

Answer:

No. It is not safe.

Explanation:

If the maximum safe incline for a ramp is said to be 8.5°, it means that the incline of any ramp that is greater than 8.5° is not safe.

Let's find the angle measure of the incline in the diagram given to ascertain whether it is safe or not.

Opposite side to angle of inclination = 20

Adjacent side to angle of inclination = 100

Apply the trigonometric function, TOA, which is:

Tan θ = Opp/Adjacent

Tan θ = 20/100

Tan θ = 0.2

θ = Tan^{-1}(0.2)

θ = 11.3099325° ≈ 11.3°

Angle of inclination for the ramp shown = 11.3°.

This is not safe because it has exceeded the maximum safe incline for a ramp which should be 8.5° maximum.

User Dhiral Kaniya
by
3.1k points
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