F. 3

G. square root of 63

H. 15

J. 21

K. 225

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## Answers

## Nedak

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

## BettieZumbrunnen

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

That's Choice-'H'.