Question

What part of a revolution have you turned through if you stand to face: (a) East and turn clockwise to face north? (b) South and turn clockwise to face east? (c) West and turn clockwise to face east?

Answer 1

Step 1: East and turn clockwise to face north.

One complete revolution has four right angles.

One revolution$={360}^{°}$ angle

The diagram of directions is shown below:

From the diagram, observe that the turning from east to north requires three right angles in a clockwise direction.

Thus, turning from east to north will be $\frac{3}{4}$ of a revolution.

$\Rightarrow {270}^0$

Hence, the revolution is ${270}^0$.

Step 2: South and turn clockwise to face east.

From the diagram, observe that the turning from south to the east requires three right angles in a clockwise direction. Thus, turning from the south to the east will $\frac{3}{4}$ of a revolution.

$\Rightarrow {270}^0$

Hence, the revolution is ${270}^0$.

Step 3: West and turn clockwise to face east.

From the diagram, observe that the turning from west to the east requires two right angles in a clockwise direction. Thus, turning from west to east will be $\frac{1}{2}$ of a revolution.

$\Rightarrow {180}^0$

Hence, the revolution is ${180}^0$.

Hence, the values of the revolutions are (a) ${270}^0$ (b) ${270}^0$ (c) ${180}^0$.