An architect is designing a ramp that allows handicapped persons to get to a door's level that is 12 feet off the ground. The ramp cannot have an incline surpassing a ratio of 1:12. What is the maximum angle of elevation for the ramp rounded to the nearest hundredth of a degree? What is the shortest possible lenght of the ramp, rounded to the nearest tenth of a foot?

I know you should use Pythagorean Theorem for this, but I am not sure where to start.

ladybug1031 Mar 23, 2019

#1**+1 **

I think that you might need physics for this, as the answers for each is 90 degress and 12 feet. I am possibly incorrect, but this question's wording does not make sense.

Hoping this helped,

asdf334

asdf335 Mar 23, 2019

#2**+1 **

I have edited the question to correct spelling and added clarification. We are studying Right Angle Trigonometry.

ladybug1031
Mar 23, 2019

#3**+1 **

To have the shortest possible and maximum angle of elevation, we want the incline to have the maximum ratio, 12:1. So, we know that it is a right triangle with base 1 and height 12. So, our answers are tan^-1(12) and sqrt145.

Hoping this helped, asdf334

asdf335 Mar 23, 2019

#4**+2 **

^{I think that you might need physics for this, as the answers for each is 90 degress and 12 feet. I am possibly incorrect, but this question's wording does not make sense.}

^{– asdf335}

^{To have the shortest possible and maximum angle of elevation, we want the incline to have the maximum ratio, 12:1. So, we know that it is a right triangle with base 1 and height 12. So, our answers are tan^-1(12) and sqrt145. – asdf335}

You do not need physics to solve this; however, you may need a **physic** (laxative) to purge yourself of the bullshit that’s impeding your access to the trigonometry needed for solving it.

\(\text{Ramp angle } = \arctan (\dfrac{1}{12}) \approx 4.8°\\ \text{Ramp length } = \dfrac{12}{sin (4.76°)} \approx 144.6 ft\)

You are hopping this helps, but I’m sure the gimps of world are hoping you do not pursue a career in architecture.

GA

GingerAle Mar 24, 2019