Question

An aircraft travelled from Calabar to Kano as follows. It first flew to illorin with a distance 300km due North west of 30degrees and then moved to kano with a distance of 400km due North East of 60degrees. Calculate the resultant displacement of the aircraft.
what the heck is "due northwest of 30°" ?
due northwest is northwest -- no 30° involved
same for the other.

Did you mean a heading of N 30° W and N 60° E ?

In any case, plot the vectors, get the x- and y-components (using sine and cosine)
then add the components and use the distance formula as usual.

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