Question

a man has to go 50m due north 40m due east and 20m due south to reach a field.,what is the displacement from his house to field​

Answer 1

Answer:

Distance :

Distance is the total path covered by the man.

Distance travelled by man=50m+40m+20m=110m

Displacement :  

Displacement is the shortest path between source [house] and destination [ field]= AB

See the figure :

Draw Perpendicular BE to AC.

BE=CD=40m

AE=AC-CE=50-20=30

NOW, DISPLACEMENT AB=√AE²+EB²

AB=√30²+40²=50m

Angle with horizontal is given by tanθ=30/40=3/4

θ=tan⁻¹[3/4] direction north  to east.

∴His displacement from his house to field is 50m , tan⁻¹[3/4] direction north  to east.

Explanation: Hope it helps. Mark me brailiest if this helped