Magnitude of the car's resultant displacement?

Question

A car travels 22.4 km due North & then 34.9 km in a direction 45.8 degrees west of North. Find the magnitude of the car's resultant displacement. Answer in units km

Answer 1

Draw the triangle.
You've got two sides and an angle.
It's just trig.

Answer 2

it quite is vector addition. because of the fact the junction of North and West form a great attitude, you need to use the Pythagorean Theorem to get the gap (length of the hypotenuse) and the Tangent function to get the attitude. 30^2 + 40^2 = h^2 tan ? = 30/40 (or 40/30 reckoning on which facet you utilize as your first vector.)