A boat travels at 15 m/s in a direction 45° east of north. The boat then turns and travels at 18 m/s in a direction 5° north of east.

What is the magnitude of the boat’s resultant velocity? Round your answer to the nearest whole number.
What is the direction of the boat’s resultant velocity? Round your answer to the nearest whole degree.

1 answer

Using the usual trig angles (not compass headings),

15 cis45° + 18cis5° = 28.54+12.18i
= 31.03 cis23.11°