Question

In order to meet ADA (Americans with Disabilities Act) requirements, a wheelchair ramp must have an angle of elevation of no more than 4.8∘. A builder needs to install a ramp to reach a door that is 1.5 feet off the ground. What angle of elevation will this ramp have?
Is 25 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?

Answer 1

Check the picture below.

make sure your calculator is in Degree mode.

does it meet the requirements?  well, 3.43 < 4.8.

Answer 2

Answer:

a. The angle of elevation should be less than 4.8 ° since that is the maximum standard.

b. The angle of elevation is 3.4°.  25 ft is long enough for the straight line distance of the ramp to meet the requirement .  

Step-by-step explanation:

The standard required angle of elevation must have an angle of elevation not more than 4.8°.

A builder needs to install the ramp to reach a door that is 1.5 ft off the ground . The angle of elevation can be calculated as follows :

The illustration forms a right angle triangle .

opposite side = 1.5 ft

adjacent side = a

The angle of elevation should be less than 4.8 ° since that is the maximum standard.

Is 25 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?

opposite side = 1.5 ft

adjacent side = 25 ft

∅ = angle of elevation

Using SOHCAHTOA principle

tan ∅ = 1.5/25

∅ =  arctan 0.06

∅ = 3.433630362

The angle of elevation is 3.4°.  

25 ft is long enough for the straight line distance of the ramp to meet the requirement .