Question

You are designing a skateboard ramp with a base of 12 meters long and 4 meters high. how long in feet is the incline of the ramp?

Answer 1

To answer this question you need to use the Pythagorean theorem. First you substitute the values for a and b. Usually, the value of c represents the hypotenuse in this case c represents the incline of the ramp. As you can see in the following calculations we set a to be the base of the ramp while b is the height of the ram. 

$a^2+b^2=c^2 \\ c= \sqrt{12^2+4^2} \\ c= \sqrt{160} \\ c=3.556$

We get that the incline of the ramp is about 3.556 meters however we can round it up to be 4 meters. The final answer needs to be given in feet, and 1 meters is 3.28 feet.  Therefore to get the answer in feet we do the following calculations:
$4 meter * \frac{3.28 ft}{1 meter} = 13.12 feet$

Therefore the ramp incline should be 13.12 feet.