Chapter 8, Problem 31SGR

To determine

To find:

The slope of the hill.

Answer to Problem 31SGR

The required slope is $m=\frac{1}{6}$ .

Explanation of Solution

Given:

A lizard rises 5 feet for every horizontal change of 30 feet.

Calculation:

Theobjective is to find the slope.

The slope of a line is given by:

  $\text{m=}\frac{\text{Vertical change}}{\text{Horizontal change}}$

Substituting Vertical change =5 feet and Horizontal change = 30 feet the slope is given by:

  $\begin{array}{l}\text{m=}\frac{\text{Vertical change}}{\text{Horizontal change}}\\ \text{m=}\frac{\text{5}}{\text{30}}\\ \text{m=}\frac{\text{1}}{\text{6}}\end{array}$

Conclusion:

Therefore, the required slope is $m=\frac{1}{6}$ .