Priya started walking towards east for 20m, then took left and walked for 40m, then turned right and walked for 30m. Now she turns right and walks 40m. How far is priya from her starting point?
- A50m
- B70m
- C60m
- D65m
Solution & Step-by-step Explanation
Let's track Priya's path step-by-step using a standard coordinate grid where the starting point is (0,0):
Starts at (0,0) and walks East for 20m:
She moves along the positive x-axis.
New Position: (20,0)
Turns left (North) and walks for 40m:
She moves up along the y-axis direction.
New Position: (20,40)
Turns right (East) and walks for 30m:
She moves along the positive x-axis direction again.
New Position: (20+30,40)=(50,40)
Turns right (South) and walks 40m:
She moves down along the negative y-axis direction.
New Position: (50,40−40)=(50,0)
Now, let's find the distance from her starting point (0,0) to her final position (50,0):
Distance=50−0=50m
Starts at (0,0) and walks East for 20m:
She moves along the positive x-axis.
New Position: (20,0)
Turns left (North) and walks for 40m:
She moves up along the y-axis direction.
New Position: (20,40)
Turns right (East) and walks for 30m:
She moves along the positive x-axis direction again.
New Position: (20+30,40)=(50,40)
Turns right (South) and walks 40m:
She moves down along the negative y-axis direction.
New Position: (50,40−40)=(50,0)
Now, let's find the distance from her starting point (0,0) to her final position (50,0):
Distance=50−0=50m