Question

What is the angle between the minute hand and the hour hand of a clock at 4 hours 30 minutes?

Answer 1

We have $\theta =\frac{11}{2}m-30h$
Where $\theta =\angle$
$m=minutes$
$h=hours$
Here, $m=30$ and $h=4$
$\theta =\frac{11}{2}\times 30-30\times 4$
$\Rightarrow \theta =165-120$
$\Rightarrow \theta ={45}^o$
The angle between the two hands is ${45}^o$