Four houses A, B, C and D are located in a colony. B is 40m north of C. A is 20m east of D. C is 30m west of D. In which direction is A with reference to C?
- AWest
- BSouth
- CEast
- DNorth
Solution & Step-by-step Explanation
Let's trace the positions on a coordinate plane, taking C as the reference point (0,0):
"B is 40m north of C" → B is at (0,40).
"C is 30m west of D" → D is 30m east of C. So, D is at (30,0).
"A is 20m east of D" → A is at (30+20,0)=(50,0).
Now, look at the position of A (50,0) relative to C (0,0):
A lies directly along the positive x-axis, which is due East from C.
"B is 40m north of C" → B is at (0,40).
"C is 30m west of D" → D is 30m east of C. So, D is at (30,0).
"A is 20m east of D" → A is at (30+20,0)=(50,0).
Now, look at the position of A (50,0) relative to C (0,0):
A lies directly along the positive x-axis, which is due East from C.