Question

X is 1 km northeast of Y. Y is 1 km southeast of Z. W is 1 km west of Z. P is 1 km south of W. Q is 1 km east of P. What is the distance between X and Q is km?

• A.
  $1$
• B.
  $\sqrt{2}$
• C.
  $\sqrt{3}$
• D.
  $2$

Answer 1

The correct option is C

$\sqrt{3}$

$XQ=\sqrt{{(\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}})}^2+(-1{)}^2}$

$=\sqrt{3}$