Question

To get from home to her friend Ryan's house, Shannon would have to walk 7 kilometers due north. To get from home to her friend Emmy's house, Shannon would have to walk 2 kilometers due east. What is the straight-line distance between Ryan's house and Emmy's house? If necessary, round to the nearest tenth.

Answer 1

Answer: approximately 7.3 kilometers.

Explanation:

Using the Pythagorean theorem, we can write:

x^2 = 7^2 + 2^2

x^2 = 49 + 4

x^2 = 53

Taking the square root of both sides, we get:

x = sqrt(53)

Using a calculator or estimating, we find:

x ≈ 7.3 km

So the straight-line distance between Ryan's house and Emmy's house is approximately 7.3 kilometers.