Answer:
7.3 km
Explanation:
You want to know the straight-line distance between Ryan's house and Emmy's house if Ryan's is 7 km north of Shannon's and Emmy's is 2 km east of Shannon's.
Right triangle
The problem can be modeled by a right triangle with legs equal to the distances from Shannon's house to Ryan's and Emmy's houses. The hypotenuse of the triangle is the straight line between Ryan's and Emmy's.
The length of the hypotenuse can be found using the Pythagorean theorem.
c² = a² +b²
c² = 7² +2² = 49 +4 = 53
c = √53 ≈ 7.3
The straight-line distance between Ryan's and Emmy's houses is about 7.3 km.