Answer:
9 miles :)
Explanation:
a^2 + 12^2 = 15^2
a^2 + 144 = 225
a^2 = 81
a = 9
9 miles
From Pythagoras :
Opposite^2 = Hypotenus^2 - Adjacent^2
The direct route = 15 miles = hypotenus
x² = 15^2 - 12^2
x² = 225 - 144
x² = 81
x =. Sqrt(81)
x = 9
Hence, you must travel 9 miles north
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