Question

A man goes 40 m due north and then 30 m due west. Find his distance from the starting point.

• A. 40 m
• B. 30 m
• C. 50 m
• D. 60 m

Answer 1

The correct option is C

50 m

Given that, A man goes 40 m due north and then 30 m due west.

Let 'O' be his starting point and OA is the distance travelled along north and AB is the distance travelled along west.

The distance he travelled overall is OB.

$O{B}^2=O{A}^2+A{B}^2$ [ By PGT]

$\Rightarrow O{B}^2=O{A}^2+A{B}^2$

$\Rightarrow O{B}^2={40}^2+{30}^2$

$\Rightarrow O{B}^2=1600+900$

$\Rightarrow O{B}^2=2500$

$\Rightarrow OB=\sqrt{2500}$

$\Rightarrow OB=50m$