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?
G. square root of 63
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 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.
A² + B² = C²
C² = (9)² + (12)²
C² = 81 + 144
C² = 225
C = √225 = 15 miles