Answer:
about 7.8 miles
Step-by-step explanation:
You want the straight line distance between Newport and Lakewood, given that Newport is 5 miles north of home, and Lakewood is 6 miles east of home.
Pythagorean theorem
The Pythagorean theorem gives the relation between the sides of a right triangle. The geometry of this problem can be modeled by a right triangle with side lengths a=5 and b=6 (miles). Then the hypotenuse of the triangle (c) will be ...
c² = a² +b²
c² = 5² +6² = 25 +36 = 61
c = √61 ≈ 7.81
The straight-line distance between Newport and Lakewood is about 7.8 miles.
