Question

A 100-foot ramp is tilted at a 45° angle. How high is the top of the ramp from the ground?

Answer 1

Check the picture below.

now, let's rationalize the denominator.

$\bf \cfrac{100}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{100\sqrt{2}}{\sqrt{2^2}}\implies \cfrac{100\sqrt{2}}{2}\implies 50\sqrt{2}$