Chapter 2.5, Problem 19PSC

To determine

To calculate: Angle between minute hand and hour hand of a watch at 5:55 AM.

Answer to Problem 19PSC

  ${152}^{\circ }30\text{'}.$

Explanation of Solution

Formula: Angle between minute hand and hour hand of a watch at X hour Y minutes is

  ${\left|\frac{60x-11y}{2}\right|}^{\circ }$

Calculation:

By the formula, $x=5,y=55$

Required angle

  $\begin{array}{l}={\left|\frac{60\times 5-11\times 55}{2}\right|}^{\circ }\\ ={152}^{\circ }30\text{'}.\end{array}$