Question

How many right angles do you make if you start facing: (a) South and turn clockwise to west? (b) North and turn anti-clockwise to east? (c) West and turn to west? (d) South and turn to north?

Answer 1

Hint: In order to find the right angle, first make a diagram of all the directions and then for each sub question check the area between the direction started facing and then turned to the given direction, what angles they are making in between and can write the number of right angles formed.

Complete step-by-step answer:
To count the right angles, we would make the diagram for all the directions that is north, south, east and west, and the diagram is:

The angle between each direction is one right angle or ${90^ \circ }$.
Let’s check the number of right angles one by one for each sub questions:

(a) South and turn clockwise to west?
-> From the above diagram, we can see that facing south and then turning to west in clockwise direction consumes one right angle in between.

(b) North and turn anti-clockwise to east?
->We can see that facing north and then turning to east in an ant-clockwise direction consumes three right angles in between, from north to west, west to south and south to east.

(c) West and turn to west?
-> Facing west and again turning towards west would make an angle of ${360^ \circ }$, that has four right angles in between.

(d) South and turn to north?
-> From North to south or south to north it has two right angles in between their paths.

Note: If the method of rotation is not given then it can move by any type either anti-clockwise or clockwise.
Sometimes it gets confusing to remember the directions in mind and just write the angles or anything. So, its better to make a rough diagram for ease.