Trigonometry (10th Edition)

142.5$^{\circ}$
1. 360$^{\circ}$/12 = 30$^{\circ}$ in each hour 2. (3/40) $\times$ 30$^{\circ}$ = 22.5 the distance between hour hand and one 3. 4 $\times$ 30 $^{\circ}$ = 120$^{\circ}$ minute hand is four "hours" away from one 4. 22.5$^{\circ}$ + 120$^{\circ}$ = 142.5$^{\circ}$