Figure K.1
The information systems and operations management department of a small college is now designing its layout for newly built office space.An overhead view of the available office space reveals the following (note: assume all locations are measured from center point to center point):
-Use the information in Figure K.1.What is the Euclidean distance between offices B and D?
A)greater than 65 feet
B)greater than 45 but less than or equal to 65 feet
C)greater than 25 but less than or equal to 45 feet
D)less than or equal to 25 feet

Question

Figure K.1
The information systems and operations management department of a small college is now designing its layout for newly built office space.An overhead view of the available office space reveals the following (note: assume all locations are measured from center point to center point): 
-Use the information in Figure K.1.What is the Euclidean distance between offices B and D?
A)greater than 65 feet 
B)greater than 45 but less than or equal to 65 feet 
C)greater than 25 but less than or equal to 45 feet 
D)less than or equal to 25 feet

Quizplus · Accepted Answer

To find the Euclidean distance between offices B and D, we need to use the Pythagorean theorem.

First, we need to find the horizontal and vertical distances between the two offices.

Horizontal distance between B and D = 30 feet (distance between center points of B and D along x-axis)

Vertical distance between B and D = 20 feet (distance between center points of B and D along y-axis)

Using the Pythagorean theorem:
Euclidean distance between B and D = √(30^2 + 20^2) ≈ 36.06 feet

Therefore, the answer is C, greater than 25 but less than or equal to 45 feet.

Figure K.1 The Information Systems and Operations Management Department of a Small