After you make your sketch you could use the cosine law
x^2 = 2^2 + 6^2 - 2(2)(6)cos 45
...
x = 4.799
then by the sine law,
sin theta/2 = sin45/4.799
theta = appr 17.14 degrees
or using vectors
resultant = (6cos180,6sin180) + (2cos45,2sin45)
= (-6,0) + (1.4142, 1.4142)
= (-4.5858,1.4142)
magnitude = sqrt(-4.5858^2 + 1.4142^2)
= 4.799 , same as above
for angle:
tan theta = 1.4142/4.5858
theta = 17.139 same a before
state the proper conclusion using necessary units
At the beginning of a race, a yacht crosses the start line and sails in a westerly direction at a speed of 6 m s-1. The current of the sea is flowing at 2 m s-1 towards the north-east.
Calculate how far and in what direction (relative to west)the yacht has travelled after 18 minutes from its crossing the start line.
1 answer