Ms.A goes for her morning walk at $6O'$clock towards sun for $2km$, then she turns to the right side and walks $3km$. She again turns to her left and walks for $2km$, finally she turns to her left to walk another $6km$. In which direction is she moving and at what distance from the last turn, she is standing?
A. $6km$, East
B. $9km$, East
C. $5km$, North-East
D. $6km$, North
Answer
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Hint : First, we need to analyze and read the given information so that we are able to answer this problem. Here, a girl goes for her morning walk. We need to analyze her paths here since we are asked to find the direction and the distance. For easy understanding, we shall note her paths step by step to obtain the required answer.
Complete step-by-step solution:
Here, we are asked to find the distance from the last turn and also we need to find the direction of her movement from the last turn.
Let us consider the starting point of the girl’s morning walk $A$.
It is given that she walks toward the Sun $2km$.
We know that the Sun rises in the East, we can note that she walks towards the East $2km$ . So, she walks from $A$to$B$at a distance $2km$.
Then she turns to the right side and walks $3km$ . Now, we shall depict it in the figure. So, she walks from $B$ to $C$ at a distance $3km$.
Now it is given that she turns to her left and walks for $2km$ . Again, we shall depict the given information in the figure. So, she walks from $C$ to $D$ at a distance $2km$ .
Now it is given that she turns to her left and walks another $6km$. We shall represent in the figure.
Finally, she finished walking at the point $E$. That is she reaches $E$ that is $6km$ , north from the point $D$. So, she walks from $D$ to $E$ at a distance $6km$ .
Hence option D) is correct.
Note: Generally, pictorial representation is the best method to solve this type of problem. We have shown the pictorial figure step by step to understand easily. Thus, we got the required answer. Hence, we calculated that she covered $6km$ from her last turn and moved in the north direction from her last turn.
Complete step-by-step solution:
Here, we are asked to find the distance from the last turn and also we need to find the direction of her movement from the last turn.
Let us consider the starting point of the girl’s morning walk $A$.
It is given that she walks toward the Sun $2km$.
We know that the Sun rises in the East, we can note that she walks towards the East $2km$ . So, she walks from $A$to$B$at a distance $2km$.
Then she turns to the right side and walks $3km$ . Now, we shall depict it in the figure. So, she walks from $B$ to $C$ at a distance $3km$.
Now it is given that she turns to her left and walks for $2km$ . Again, we shall depict the given information in the figure. So, she walks from $C$ to $D$ at a distance $2km$ .
Now it is given that she turns to her left and walks another $6km$. We shall represent in the figure.
Finally, she finished walking at the point $E$. That is she reaches $E$ that is $6km$ , north from the point $D$. So, she walks from $D$ to $E$ at a distance $6km$ .
Hence option D) is correct.
Note: Generally, pictorial representation is the best method to solve this type of problem. We have shown the pictorial figure step by step to understand easily. Thus, we got the required answer. Hence, we calculated that she covered $6km$ from her last turn and moved in the north direction from her last turn.
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