Question

Four branches of a company are located at M, N, O, and P. M is north of N at a distance of 4 km; P is south of O at a distance of 2 km; N is southeast of O by 1 km. What is the distance between M and P in km?

• A.
  5.34
• B.
  6.74
• C.
  28.5
• D.
  45.49

Answer 1

The correct option is A

5.34
$\left(a\right)$

$Refertothefigurebelow$



$AsON=1,OA=AN=\frac{1}{\sqrt{2}}=PB$

$So,MB=(4+2-\frac{1}{\sqrt{2}})$

$andPB=\left(\frac{1}{\sqrt{2}}\right)$

$PM=\sqrt{P{B}^2+B{M}^2}=5.34$