Return to polar form

Magnitude = sqrt(603.923^2 60^2) = 606.9

Direction = arctan(60 / 603.923) = 5.67 degrees north of east

Decompose each vector into x-y

500 km/h due east = (500, 0)

120 km/h at 30 deg. north of east

= (120 cos(30), 120 * sin(30))

= (120 * sqrt(3) / 2, 120 * 1 / 2)

= (60 * sqrt(3), 60)

Add the vectors.

(500, 0) (60 * sqrt(3), 60)

= (500 60 * sqrt(3), 60)

= (603.923, 60)

Magnitude = sqrt(603.923^2 60^2) = 606.9

Direction = arctan(60 / 603.923) = 5.67 degrees north of east

Magnitude = sqrt(603.923^2 60^2) = 606.9

Direction = arctan(60 / 603.923) = 5.67 degrees north of east

This post is last updated on hrtanswers.com at Date : 1st of September – 2022