Question

A car is driven 225km west and then 98 km southwest (45∘). What is the displacement of the car from the point of origin (magnitude)?

Answer 1

To find the missing line of the "triangle", you would use the cosine rule.

(a2 + b2 -2abcosc)^0.5

Or in this case

225^2+98^2-2(225)(98)cos45

Get the answer to that, and then underroot it to get your magnitude, and your answer.

Hope this helped, swas.

Answer 2

sorry, it's cos 135 instead of cos 45. Please make that correction.

Answer 3

Thank you so much!

Answer 4

Anytime