Chapter 8.2, Problem 33E

To determine

To find: The distance from City Z to City Y.

Answer to Problem 33E

The required distance is $296.5\text{miles}$ .

Explanation of Solution

Given information: The round trip’s distance is $647\text{miles}$ . And the distance between City X and City Z is $27\text{miles}$ .

Calculation: Since the round trip’s distance is $647\text{miles}$ .

Hence, single trip from City X to City Y $=\frac{647\text{miles}}{2}$

  $\therefore XY=323.5\text{miles}$

By using Segment Addition Postulate,

  $\begin{array}{l}XZ+ZY=XY\\ 27\text{miles}+ZY=323.5\text{miles}\\ ZY=323.5\text{miles}-27\text{miles}\\ ZY=296.5\text{miles}\end{array}$