Chapter 8.7, Problem 50STP

To determine

To select:

The correct option to show the total distance in meters from point $C$ to $S$

A. $10.8m$

B. $24.5m$

C. $31.8m$

D. $35.3m$

Answer to Problem 50STP

The correct option is D. the total distance in meters from point $C$ to $S$ is $35.3m$

Explanation of Solution

Given information:

  

Calculation:

The path 1is right triangle with the leg lengths $28-4=24m$ and $15-10=5m$

The path 2 is right triangle with the leg lengths $4m$ and $10m$

Now, length of path 1:

  $\begin{array}{l}{d}_1=\sqrt{{24}^2+5^2}\\ d_1=\sqrt{576+25}\\ d_1=\sqrt{601}\\ d_1=24.5\end{array}$

Now, length of path 2:

  $\begin{array}{l}{d}_2=\sqrt{4^2+{10}^2}\\ d_2=\sqrt{16+100}\\ d_2=\sqrt{116}\\ d_2=10.8\end{array}$

Now, the total distance is calculated as:

  $\begin{array}{l}d=d_1+d_2\\ d=24.5+10.8\\ d=35.3m\end{array}$

The correct option is D.