Sally starts from home, walks 300 m east and then 500 m south, and arrives at her school.How far, in a straight line, is Sally's school from her home?
A)300 m
B)500 m
C)580 m
D)640 m
E)800 m

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, the distance between Sally's home and school can be found:
$distance = \sqrt{(300	ext{ m})^2 + (500	ext{ m})^2}$
$distance = \sqrt{90000	ext{ m}^2 + 250000	ext{ m}^2}$
$distance = \sqrt{340000	ext{ m}^2}$
$distance = 580	ext{ m}$
So Sally's school is 580 meters from her home. Answer choice C is correct.

Sally Starts from Home, Walks 300 M East and Then