Chapter 4.8, Problem 48SPR

a.

To determine

To calculate:

Slop represented by given requirement.

Answer to Problem 48SPR

Slop represented by given requirement is $\frac{1}{12}$ .

Explanation of Solution

Given information:

  $12-$ Inch run for each rise of $1inch$ .

Calculation:

Slope is equal to $\frac{Rise}{Run}$ .

Note that rise of $1$ in requires a run of $12$ in.

To find the slope of the ramp,

Slope Is calculated as ratio of Rise to run.

  $=\frac{1}{12}$

Hence, the slope represented by this requirement is $\frac{1}{12}$ .

b.

To determine

To calculate:

A total inch tall is highest point of this ramp.

Answer to Problem 48SPR

A total inch tall is highest point of this ramp is $30in$ .

Explanation of Solution

Given information:

Max length hat the law allows for a ramp is $30ft$

Calculation:

Use the conversion factor $\frac{12in}{1ft}$ to rewrite $30ft$

  $\begin{array}{l}30ft=30ft\times \frac{12in}{1ft}\\ =360in\end{array}$

Find the rise with $\frac{1}{12}$ slope and $360-in$ run.

  $\frac{1}{12}\left(360\right)=30$

Hence, the highest point of the ramp is $30in$ .