Discussion
You are located at X and your school is located at Y. There is no straight path from your house to your school. So you first go to A which is about 125 m due north of X, then go to B which is 75 m due west of A, then go to C which is about 150 m due north of B and finally reach your school at Y which is 75 m due east of C. With respect to your school at Y, the correct direction of house at X is :
Answer: B
The house at X is due south of the school.
The two east-west moves cancel: 75 m west from A to B and 75 m east from C to Y. The north moves add up: 125 m from X to A and 150 m from B to C, 275 m in all. So Y is 275 m due north of X, which means X is due south of Y.
'Due North' gives the direction of the school from the house, the reverse of what is asked. North-west and south-east would need an unbalanced east-west movement.
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