00:01
In what direction should it head? so to think about this, we can apply our law of sines.
00:06
We can write sine of theta divided by our 26 kilometers per hour times our time equal to sine of our angle.
00:21
Our angle is going to be our angle, which is going to be, it's just going to be that difference between, the difference between our two angles.
00:50
So it's going to be 180 minus 15 degrees or sine of 155 degrees over that velocity, which is 50 kilometers per hour times t.
01:03
So we see our t cancels out.
01:06
We then find sine of theta is equal to our 29 over 50 times sine of 155.
01:13
And then we can take the inverse sine to solve for theta.
01:16
So our inverse sine of 29 over 50 times sine of 155, we get an angle of 14 .1 degrees.
01:28
So this is going to be that direction.
01:32
So now the speedboat should head in our direction of 15 plus 14 .1 degrees, which gives us 29 .1 degrees east of north.
01:46
Now for part b, we'd like to find the time required...