A plane is moving due north,directly towards its destination.Its airspeed is 230 mph.A constant breeze is blowing from west to east at 30 mph.In which direction is the plane pointed?

A) 7.4° W of N
B) 82.6° W of N
C) 44.8° W of N
D) 82.5° E of N
E) 45.2° W of N

Question

A plane is moving due north,directly towards its destination.Its airspeed is 230 mph.A constant breeze is blowing from west to east at 30 mph.In which direction is the plane pointed?
​
A) 7.4° W of N
B) 82.6° W of N
C) 44.8° W of N
D) 82.5° E of N
E) ​45.2° W of N

Quizplus · Accepted Answer

The plane must compensate for the eastward wind by pointing slightly west of north. Using vector addition and trigonometry, the angle can be calculated as arctan(30/230) ≈ 7.4° west of north.

A Plane Is Moving Due North,directly Towards Its Destination