Question

Kelly and her friends agreed to share an internet connection with one another. They placed the router at the center of their dorm. the router has a range of 15 meters. Joana’s room is located 5 meters east and 5 meters north of the router. cherry’s room is located 10 meters east and 15 meters south of the router. kelly’s room is located 5 meters west, and 10 meters north of the router, and Bella’s room is located 10 meters south of the router. Who among them has no access to an internet connection?

Answer 1

Using the Pythagorean theorem to calculate the distances, it is determined that Cherry is the only one without internet access because her room is 18.03 meters away from the router, exceeding its 15-meter range.

Step-by-step explanation:

The question asks about the access to an internet connection based on the position of each person's room relative to the router's range. We need to calculate the distance from each person's room to the router to determine if it is within the 15-meter range of the router. Using the Pythagorean theorem:

• For Joana's room, which is 5 meters east and 5 meters north of the router, the distance is √(5² + 5²) = 7.07 meters.
• For Cherry's room, which is 10 meters east and 15 meters south, the distance is √(10² + 15²) = 18.03 meters.
• For Kelly's room, located 5 meters west and 10 meters north, distance is √(5² + 10²) = 11.18 meters.
• For Bella's room, located 10 meters south, distance is 10 meters.

Since the router has a range of 15 meters, and Cherry's room has a distance of 18.03 meters from the router, Cherry is the only one among them who has no access to an internet connection.