Question

Flared sides smoothly connect the ramp to the sidewalk. The guidelines say the flared sides must be no more than 5.7 degrees ( ratio of vertical to horizontal). What is the horizontal distance for flared sides with a 4 inch vertical distance?

Answer 1

Answer:

$40\ \text{inches}$

Step-by-step explanation:

$\theta$ = Angle = $5.7^{\circ}$

Let the vertical distance be is $y=4\ \text{inches}$

horizontal distance be $x$

So, slope is the tangent of the angle between the vertical and horizontal

$\dfrac{y}{x}=\tan\theta\\\Rightarrow \tan5.7^{\circ}=\dfrac{4}{x}\\\Rightarrow x=\dfrac{4}{\tan5.7^{\circ}}\\\Rightarrow x=40.07\approx 40\ \text{inches}$

The horizontal distance for flared sides is $40\ \text{inches}$.