Clock Tower

What angle is betwenn hands on Clock Tower when show 17 hours and 35 minutes?

Correct answer:

x =  42.5 °

Step-by-step explanation:

$$\begin{gathered} m=360\mathrm{/}60=6\text{ ° } \\ h=360\mathrm{/}12=30\text{ ° } \\ M=35\cdot m=35\cdot 6=210\text{ ° } \\ H=(5+35\mathrm{/}60)\cdot h=(5+35\mathrm{/}60)\cdot 30={\displaystyle \frac{335}{2}}=167.5\text{ ° } \\ x=\mathrm{\mid }M-H\mathrm{\mid }=\mathrm{\mid }210-167.5\mathrm{\mid }=42.5\text{°}=42\mathrm{°}30^{\mathrm{\prime }} \end{gathered}$$

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