Tom is closer to the roller coaster since the distance to the roller coaster (approximately 7.07 units) is smaller than the distance to the water ride (approximately 7.28 units).
To determine whether Tom is closer to the roller coaster or the water ride, we can use the distance formula from the coordinate system. The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Let's calculate the distances from Tom's position (2, 3) to the roller coaster (7, 8) and the water ride (9, 1):
Distance to the roller coaster = √[(7 - 2)² + (8 - 3)²] = √[5² + 5²] = √(25 + 25) = √50 ≈ 7.07
Distance to the water ride = √[(9 - 2)² + (1 - 3)²] = √[7² + (-2)²] = √(49 + 4) = √53 ≈ 7.28
Tom is closer to the roller coaster since the distance to the roller coaster (approximately 7.07 units) is smaller than the distance to the water ride (approximately 7.28 units).
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Answer:
Water Slide
Step-by-step explanation: