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A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat’s departure point. About how many miles is the oil rig from the departure point?
F. 3
G. square root of 63
H. 15
J. 21
K. 225
if this is drawn out then the distance and the 9 miles east and 12miles north make a right-angled triangle. We can then use pythagoras' theorem. a^2+b^2=c^2 so 9^2+12^2=hypoteneuse^2 so 81+144=h^2 h^2=225 h=15 so the distance is 15km
If the Earth were a flat surface, then 9 miles east and 12 miles north would be the basis of a right triangle, and the straight-line route would be the hypotenuse. We could use the Pythagorean Theorem to find the straight-line distance.
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