The problem can be represented by a right triangle with hypotenuse length 60nm. The right angle we can call N in triangle NYX. XY=60. Angle NXY=75°. Distance north=XN, distance east=NY.
(i) XN=XYcos75=60cos75=15.53nm approx.
(ii) NY=XYsin75=60sin75=57.96nm approx.