One airplane is located 200 km north


Asked by maham237 @ in Mathematics viewed by 427 People


One airplane is located 200 km north and 50 km east of an airport. A second plane at the same altitude is located 30 km north and 100 km north and 100 km west.The distance between the planes is closest to:
A. 150 km
B. 200 km
C. 300 km
D. 350 km
E. 400 km

Answered by maham237 @



Answer:

B. 200 km

Step-by-step explanation:

You can use the Pythagorean theorem for this question. First, you must find a and b. You can do this by finding the distance between North and South, and East and West. For this specific equation, you'd use 200 North - 30 North to get 170 miles on the y-axis. Then, you'd do 50 East + 100 West to get 150 kilometers distance on the x-axis. Now that you have 170 and 150, you can begin the equation

170^2 + 150^2 = c^2

28900 + 22500 = c^2

51400 = c^2

√51400 = √c^2

~226 = c

They are approximately 226 kilometers apart, and 226 is closest to 200, which is B.

While writing this, I felt like I wasn't explaining well. Please feel free to ask for clarification if you need.


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