Please, nothe tath in order to find the distance AJ, we can apply the Carnot Theorem.So we can write the subsequent equation:

x^2=12^2+16^2-2*12*16*cos(52)

since the angle enclosed by AP and PJ has an amplitude equal to 38+14=52 degrees, here x is the measure of the segment AJ.

So, we have:

x^2=400-384*cos(52)=163.58

Finally,we have:

AJ=x=12.8 Km

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