Question

a man moves 20m towards north east direction. component of displacement of man along east direction is​

Answer 1

Answer:

14.14m

Explanation:

Moves in N-E direction 20m so displacement in East direction 20cos(45)=14.14m

Answer 2

Given:

A man moves 20m towards north east direction.

To find:

Component of displacement of man along east?

Calculation:

• The angle between North-East and East direction is 45°.

• So , the component will be :

$d_{E} = d_{NE} \times \cos( {45}^{ \circ} )$

$\implies \: d_{E} = 20 \times \dfrac{1}{ \sqrt{2} }$

• Performing rationalisation:

$\implies \: d_{E} = 20 \times \dfrac{ \sqrt{2} }{ 2}$

$\implies \: d_{E} =10 \sqrt{2} \: m$

So, component of displacement along East is 10√2 metres.