Question

A car drives 40 miles at an angle of 35 degrees north of east then drives for 50 miles due north and finally 10 miles at an angle of 20 degrees north of west what is the cars resultant magnitude and direction

Answer 1

Below

Step-by-step explanation:

FIND TOTAL NORTH DISPLACEMENT

40 sin 35 + 50 + 10 sin 20 = 76.363 mi

FIND TOTAL E-W DISPLACEMENT

40 cos 35 - 10 cos 20 = 23.369 mi

Total resultant displacement ( using pythag theorem)

sqrt ( 76.363^2 + 23.369^2 ) = 79.86 mi

angle = arctan ( 79.23 / 23.37) = 73 ° North of East