SOLUTION: To a person riding a bike with velocity (7 i + 3 j) km/h the wind seems to have velocity (9 i + 10 j) km/h. State the true velocity of the wind in i, j vector form. velocity

Question 998952: To a person riding a bike with velocity (7 i + 3 j) km/h the wind seems to have velocity (9 i + 10 j) km/h.
State the true velocity of the wind in i, j vector form.
velocity (km/h) = 16i + 13j
What is the speed of the wind?
speed (km/h) = 20.6
I'm stuck on the last part:
Taking i as due East, what is the direction of the wind (in standard bearing notation) to the nearest degree?
bearing (�) ≈
THANK YOU!
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
we have the i component given as 16 and the magnitude of the two components is 20.6, therefore the cosine of x is
cos x = 16 / 20.6 = 0.776699029
now we want the cosine inverse of 0.776699029 to find the bearing
cos^(-1) 0.776699029 = 39.04 degrees
note that bearing is measured from the positive x axis

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