Question

An aeroplane moves 400 m towards the north, 300 m towards west and then 1200 m vertically upwards, then its displacement from the initial position is:

• A. 1600 m
• B. 1800 m
• C. 1500 m
• D. 1300 m

Answer 1

The correct option is D 1300 m

Consider given image B is the starting point and D is end point.
BC is hypotenuse of BA and AC.
${BC}^2={BA}^2+{AC}^{2}BC=\sqrt{{400}^2+{300}^2}=500m$
BD is hypotenuse of BC and CD.
${BD}^2={BD}^2+{CD}^{2}BD\sqrt{{500}^2+{1200}^2}=1300m$