The right triangle represents a sketch of a wheelchair ramp that meets safety requirements. What is the horizontal distance required for the ramp? Round your answer the nearest tenth

Guest Mar 3, 2021

#1**+1 **

Pythagorean Theorem: \(a^2+b^2=c^2\)

a and b are the legs of the triangle and c is the hypotenuse

Keep in mind that the Pythagorean Theorem only works on right triangles

Replacing a with 12 and c with 144 we get \(12^2 + b ^2 = 144^2\)

which becomes \(144+b^2 = 20736\)

Now we subtract 144 from 20736 and get \(b^2 = 20592\)

so \(b = \sqrt{20592}\) which is about 143.499128...

Rounding that to the nearest tenth we get 143.5

So the answer is __143.5 inches__

Correct me if im wrong!

swag123456 Mar 3, 2021