Q:

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

Accepted Solution

A:
Answer:4.780 °144''Step-by-step explanation:Given that,door's level is 12 feet off the groundthe ramp can not have an incline surpassing a ratio of 1:12An incline surpassing a ratio of 1:12 , means that every 1" of vertical rise requires at least 12" of ramp lengthSo,1' rise = 12' length12' = 12'x12    = 144''now we know the length and height of ramp so we can use trigonometry identities to find the angle sinФ = height / lengthsinФ = 12 / 144sinФ =  sin^-1(12/144)Ф       =  4.780 °