Question

Sheila leaves her house and starts driving due south for $30$ miles, then drives due west for $60$ miles, and finally drives due north for $10$ miles to reach her office. Find her approximate displacement.

• A. $63$
• B. $67$
• C. $71$
• D. $75$
• E. $80$

Answer 1

The correct option is A $63$

The resultant distance she traveled towards south is equal to $30-10=20$ miles

The resultant distance she traveled towards west is $60$ miles

The displacement is $\sqrt{{60}^2+{20}^2}=\sqrt{3600+400}=\sqrt{4000}=63$ (approx)