Question

An aeroplane files $400m$ north and $300m$ south and then files $1200m$ upwards then net displacement is

• A. $1200m$
• B. $1300m$
• C. $1400m$
• D. $1500m$

Answer 1

The correct option is A

$1200m$

Step 1. Given data

An Aeroplane flies $400m$ $\left(AB\right)$ towards north and $300m\left(BC\right)$ towards south so the net displacement is $100m\left(AC\right)$ towards north and then flies $1200m\left(CD\right)$ upward.

Step 2. Finding the displacement, $AD$

So, using Pythagoras theorem
$\begin{array}{rcl}AD& =& \sqrt{A{C}^2+C{D}^2}\\ & =& \sqrt{{(100m)}^2+{(1200m)}^2}\\ & =& \sqrt{1450000}\\ & =& 1204.15946\simeq 1200m\end{array}$

Hence, option $\left(A\right)$ is correct.