A bird has a speed in still air of 20 ms-1. It is pointed in the direction of the bearing 130 degrees, but there is a wind blowing at a speed of 10 m/s from the south west.
Take unit vectors i to point east and j to point north.
a) Express velocity of the bird relative to the air and the velocity w of the wind in compnent form, giving numerical values in ms-1 and the direction as a bearing to the nearest degree.
b) express resultant velocity v of the bird in componenet form , giving the numerical values in ms-1 to 2 d.p
c) hence find the magnitude and directon of the resultant velocity v of the bird, giving the magnitiude in ms-1 to 2 d.p and the direction as a bearing to the nearest degree.
I'm completely stuck. I do not understand it at all. Ive tried drawing a right handed triangle, and I've only managed to get wind velocity using 10cos45 i + 10 sin45 j...and I don't even know if thats right. I really need to be talked through this...