Question

Please help... A plane heads west (180.0 degrees) at a speed of 400.0 mph. The wind's velocity is southeast (315.0 degrees) at 30. mph.

What is Ax, the magnitude of the original vector of the plane?
What is magnitude of final velocity of the plane?
What is the final direction of the plane?

Answer 1

draw a vector (arrow) pointing west, from the head of this arrow draw a vector pointing southeast. Complete the triangle by drawing the resultant vector from the tail of the first arrow to the head of the second arrow. Figure out he angle be tween the first two vectors and use cosine rule for triangles to find the the magnitude of the opposite vector?

find direction using sine rule