Question

Find the angle between the hands of a clock at the time.

$\left(i\right)7$o' clock

$\left(ii\right)3.30$o' clock.

Answer 1

On the clock dial, the angle between the directions pointing to any two adjacent numerals is equal to $\frac{1}{12}\times {360}^{\circ }={30}^{\circ }$

$\left(a\right)7O^{\prime }clock=\angle a=5\times {30}^{\circ }={150}^{\circ }$

$\left(b\right)3.30O^{\prime }clock,\angle b=2\times {30}^{\circ }+{15}^{\circ }={75}^{\circ }$