Quote:

A plane, whose speed in still air is 500 km/h,

flies from a point A to a point B, 1560 km due north of A.

Because of a constant wind, the plane must head in a direction whose bearing is 9°.

Given that the flight takes 3 hours,

(i) Show that the speed of the wind is approximately 82.5 km/h

(ii) Find the bearing of the direction from which the wind is blowing.

Quote:

On another occasion the wind, whose speed is now 90 km/h,

is blowing from a direction whose bearing is 120°.

A second plane, whose speed in still air is 375 km/h,

flies from A to a point C, which is due east of A.

Given that this flight also takes 3 hours.

(iii) find the distance AC