00:01
So we have a pilot that is steering a plane in the direction of, if this is west, east, north, south.
00:10
We see it's 45 degrees north of west, so this is 45 degrees right here, at 290 kilometers per hour.
00:21
And then we have a wind that's blowing, 30 degrees south of east.
00:29
So right here, this is 30 degrees, at a speed of 55 kilometers per hour.
00:38
So we want to find the true speed of the plane.
00:41
So the true speed and the true direction, the true vector, is going to be the sum of the plane vector plus the wind vector.
00:59
So in this case, we want to add these components together.
01:02
So v true is going to equal this is 290 cosine 45, actually negative, cosine 45, and then 290, sine 45 plus our wind vector is going to be 55, cosine 30, negative 55, sine 30.
01:35
So with that, we need to add these components together.
01:39
I would highly advise just using a calculator to do so.
01:43
So for the x coordinate, it's going to be a negative 290 cosine 45 plus 55 cosine 30.
01:56
And that's going to be negative 157 .4.
02:02
And then we're going to have 290, sine 455 minus 55 sine 30...