Chapter 8.6, Problem 1BCYP

To determine

To calculate: To find slope of the kite string

Answer to Problem 1BCYP

Slope of the kite string is $3.5$

Explanation of Solution

Given information: Authur flying a kite in the park. The kite is horizontal distance of $20$ feet from Arthur’s position and a vertical distance of $70$ feet.

Formula Used:

Slope is defined as rise over run, i.e. change in y-coordinates divided by change in x-coordinates

  $Slope=\frac{Rise}{Run}$

Calculation:

Given that kite is horizontal distance of $20$ feet from Arthur’s position and a vertical distance of $70$ feet.

Therefore,

  $Rise=70feet$

  $Run=20feet$

Now, Slope of the kite string is calculated as

  $Slope=\frac{Rise}{Run}$

Substituting the value in above formula,

  $\begin{array}{l}Slope=\frac{70}{20}\\ Slope=\frac{7}{2}\\ Slope=3.5\end{array}$

Conclusion:

Hence, slope of the kite string is $3.5$