A pilot wishes to fly from Bayfield to Kitchener, a distance of 100 km on a bearing of 105°. The speed of the plane in still air is 240 km/h. A 20 km/h wind is blowing on a bearing of 210°.

Remembering that she must fly on a bearing of 105° relative to the ground (ie the resultant must be on that bearing), find

a) the heading she should take to reach her destination.

b) how long will the trip take