Question

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

the heading she should take to reach her destination
how long will the trip take

Answer 1

@JoannaBlackwelder

Answer 2

@asnaseer

Answer 3

@Luigi0210

Answer 4

I would start by adding the velocity vectors here, I think. Can you find the resultant speed?

Answer 5

Why?

Answer 6

Hm, hold on. I am still working on it....

Answer 7

Okay Thanks same here!

Answer 8

I found the resultant magnitude by law of cosines.

Answer 9

But I haven't yet found the angle.

Answer 10

I think I can get it using summing the x components and y components and using trig ratios, but I have to go. Sorry!

Answer 11

I'll be back on later today.

Answer 12

You can use rate=distance*time to find time once you have rate.

Answer 13

Okm thx

Answer 14

No worries