Question

VECTORS HELP~~

A ship is heading due north at 12 mph. The current
is flowing southwest at 4 mph. Find the actual bearing and speed
of the ship.

Answer 1

R² = 12² + 4² - 2*12*4cos45° 
R² = 92.12 
R = 9.6 mph ===========> ANSWER 

Use law of sines to find bearing 
4/sinA = R/sin45° 
sinA = 4sin45°/9.6 = 0.2946278...... 
A = 17.14° 
bearing = North 17.14° West or 342.86°