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Q. 22

Expert-verified
Found in: Page 533

### Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

# A wheelchair ramp is to be built at the town library. If the entrance to the library is 18 in. above ground, and the slope of the ramp is , how far out from the building will the ramp start?

The ramp will start 270 inches apart from the building.

See the step by step solution

## Step-1 – Given

A wheelchair ramp is to be built at the town library. If the entrance to the library is 18 inch above ground and the slope of the ramp is $\frac{1}{15}$.

## Step-2 – To determine

We have to find how far out from the building, the ramp will start.

## Step-3 – Calculation

According to the question we consider this figure below:

Let us assume, x= the distance between the building and the ramp.

So,

$\begin{array}{l}\text{slope}=\mathrm{tan}\theta =\frac{18}{x}=\frac{1}{15}\\ \frac{18}{x}=\frac{1}{15}\\ x=18×15=270\text{in.}\end{array}$

So, the ramp will start 270 inches apart from the building.