Question

A wheelchair ramp needs to be pitched at 8 degrees. If the ramp is to access an 18-inch step to a door what will be the length of the ramp to the nearest inch?
Please help

Answer 1

Answer : The length of the ramp to the nearest inch will be, 129.49

Step by step explanation :

As we know that,

$\sin \theta =\frac{Perpendicular}{Hypotaneous}$

In the given image, the value of $\theta$(the angle between the base and the hypotaneous) is $8^o$ and the value of perpendicular is 18 inch.

Now we have to calculate the value of the hypotaneous by using above expression, we get

$\sin \theta =\frac{Perpendicular}{Hypotaneous}$

$\sin 8^o=\frac{18inch}{Hypotaneous}$

$0.139=\frac{18inch}{Hypotaneous}$

$Hypotaneous=\frac{18inch}{0.139}$

$Hypotaneous=129.49inch$

The hypotaneous is equal to the length of the ramp = 129.49 inch

Therefore, the length of the ramp to the nearest inch will be, 129.49