3
QuizMultiple Choice

Geometric Vectors

Question 3 • TX-Pre-Calculus

Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. How far do Ryan and Andy live from each other?

Answer
A
16 blocks
B
12.7 blocks
C
11.4 blocks
D
13.1 blocks

Explanation

Set Devin’s location at (0, 0). Ryan is at (−2, −5) and Andy is at (7, 2), so they are 9 blocks apart east-west and 7 blocks apart north-south. Using the distance formula, their distance is √(9² + 7²) = √130 ≈ 11.4 blocks, so the best answer is 11.4 blocks.

AI-written and checked against the verified answer.

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