This kind of thing is required to be worked out in your head when your doing the CPL.......Ive got some infor for you although not easy to understand!!
First you work out your max Drift...Ie the max you will drift in one hour.
Max drift = 60/TAS x Wind speed
In your example the max drift would be :
60/90knots x 15 = 10 deg MAX DRIFT
Then you have to factor the drift according to how many degrees the wind direction is off the nose. This is basically done using the simple 'Clock Rule'
0 deg Head/Tail = 0 x Max drift
15 deg Head/Tail= 1/4 x Max drift
30 deg Head/ Tail = 1/2 Max drift
60 deg Head/ Tail = 1x max drift (full)
In your example the new heading would be calculated like this :
TRK= 060
W/V = 030/15
Max dft= 10 degrees
030 is 30 degrees off the nose therefore you will alter your heading by 1/2 the max drift (5 degrees) so your new heading will be 5 degrees into wind = 055
There is also a way for calculating the ground speed but its a little

complicated so maybe i'll type it another time!!
Hope that helps!
Rowley!