Question

What part of a revolution have you turned through if you stand facing east and turn clockwise to face north?

Answer 1

Hint: As we know that the above given question is a word problem. A problem is a mathematical question written as one sentence or more describing a real life scenario where that problem needs to be solved by the way of mathematical calculation. We know that one revolution equals ${360^ \circ }$.

Complete step-by-step answer:
We need to first understand the requirement of the question .
Let us first draw the image pointing the directions.

From the above image we can clearly see the directions.
We know that if we revolve one complete round either clockwise or anti- clockwise direction, then we will revolve by ${360^ \circ }$. There will be two adjacent directions at ${90^ \circ }$. Or we can say that it will be $\dfrac{{90}}{{360}} = \dfrac{1}{4}$ of a complete round away from each other.
So if we start facing east and then turn clockwise to face north we have to make $\dfrac{3}{4}$ of a revolution.
Hence the required answer is $\dfrac{3}{4}$.
So, the correct answer is “$\dfrac{3}{4}$”.

Note: Before solving this kind of question we should always draw the diagram of directions correctly to solve the solution without errors. Let us take another example when we start facing west and turn clockwise to face east. Then we go from west to east clockwise, so we cover two parts of the whole revolution i.e. $\dfrac{2}{4} = \dfrac{1}{2}$, hence we turn $\dfrac{1}{2}$ of the revolution.