# How do we determine ramp length and angle required for vehicle access to an elevated surface?

I'm wondering if there's any mathematical or scientific way to determine the car ramp's length and angle provided car's ground clearance and height of garage floor from the road.

I'm looking to find the shortest ramp length for my car to climb but the angle should be just right for the car to climb without scraping the bumper.

I have very little space, so the shortest length is something I care about.

Please note that I couldn't find angle of departure/arrival for my car.

Car's ground clearance(Lowest point of the car from the ground) is 170mm.

The height of garage floor from the ground is 14.5 inches

The total length of garage is 20 feet.

Here is car-specific information.

P.S

• As of now garage ramp length is 4 feet 10 inches. I want to shorten the length as much as possible

• My car's tire pressure 30 PSI and I maintain that.

• Whenever I park my car in the garage , Only the driver will be in so no extra load.

• Here's the car size

Length*Width*Height:3990*1745*1500 mm3

• Car's wheelbase( Centre of front axle to centre of rear axle ) is 2520 mm

• The climate around the residence is Tropical Savannah so no snow :) Usually highly humid coastal area climate

• Comments have been moved to chat; please do not continue the discussion here. Before posting a comment below this one, please review the purposes of comments. Comments that do not request clarification or suggest improvements usually belong as an answer, on Home Improvement Meta, or in Home Improvement Chat. Comments continuing discussion may be removed. Commented Oct 5, 2023 at 5:01
• With the desired result including mathematical and geometric formulas, This question may be better suited for Mathematics SE math.stackexchange.com/questions/tagged/geometry Commented Oct 8, 2023 at 22:03
• @Triplefault - Can we migrate this question to geometry ?
– King
Commented Oct 9, 2023 at 0:04
• Any answer here is a guess. The math does not consider variables such as tire pressure or varying ride height dependant on the weight of the occupant/s of the vehicle, (It is unknown what the ride height is when the vehicle is occupied.) Even approach speed and spring compression rates will effect the height. Heck even the ambient temperature can be a factor, as it will have an effect on the tire pressure. ( tire pressure and thus size will be different after driving and building heat as opposed to the vehicle standing still for a period of time.) As a result the car may clear when entering th Commented Oct 15, 2023 at 14:43
• What's the safest angle and length of the garage ramp ?
– King
Commented Oct 16, 2023 at 17:43