Answer
(a) $208.33\,\mathrm{km/h}$
(b) $54.16\,\mathrm{km/h}$
Work Step by Step
(a) The horizontal component is given by $v_x=v\cos15^{\circ}$.
For $v_x=200$, we have $v=200/0.96=208.33\,\mathrm{km/h}$.
(b) The vertical component is given by $v_y=v\sin15^{\circ}$.
For $v_x=208.33$, we have $v=208.33\times 0.26=54.16\,\mathrm{km/h}$.