Question

hi, need help in below problem. thanks.

A cruiser which can steam at 48 km/hr received a report that enemy vessel, steaming due north at 32km/hr, is 46 km away in a direction 30 degrees north of east. show graphically or by calculation , that the cruiser can overtake the vessel in almost exactly 2 hours.

Answer 1

draw the figure. the included angle at the start is 150 deg.

using law of cosines
(48*t)^2=46^2 +(32t)^2 -2(48*32t^2)cos150

solve for time t (in hours).