Question

A wheelchair ramp with a length of 109 inches has a horizontal distance of 91 inches. What is the ramp's vertical distance?

Answer 1

Answer:

the ramp's vertical distance is 60

Step-by-step explanation:

Think about what a ramp looks like from the side (right triangle). Use the Pythagorean Theorem.

$H2 = a2 + b2$

The wheelchair ramp (hypotenuse) is given to be 109, if one of the sides is 91, simply plug in the numbers and solve for the other side.

$(109)^{2} = (91)^{2} + b^2$

$11881 = 8281 + b^2$

$3600 = b^2$

$\sqrt{3600} = b$

$60 = b$

Hope this helps!