Math Help - vectors

1. vectors

A pilot plans to travel 300 km east, then 300 km north-east. Show that the resultant bearing is 67.5 degrees.

2. Originally Posted by Mr Rayon
A pilot plans to travel 300 km east, then 300 km north-east. Show that the resultant bearing is 67.5 degrees.
displacement east ... $x = 300+300\cos(45)$

displacement north ... $y = 300\sin(45)$

$\theta = \arctan\left(\frac{y}{x}\right)$

3. Skeeter has a more mathematical approach, I prefer to drawn the picture. After drawing it, you realize it's an isosceles triangle, and filling in the angles are pretty easy. Take a look at my drawing: