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.
The distance between the planes is closest to 200km
You can use the Pythagorean theorem for this question.
First, we need to find a and b. This is gotten by calculating the distance between North and South, and the East and West. From the question, we can say that, 200 North - 30 North gives 170 miles with respect to the y-axis. In the same vein, we know that 50 East + 100 West gives us 150 kilometers which is with respect to the x-axis.
Since we have found our a and b to be 170 and 150, we then use Pythagoras to find the answer to the equation.
170² + 150² = c²
28900 + 22500 = c²
c² = 51400
c =[tex]\sqrt{51400}[/tex]
c = ±226 km.
Since we can't have distance in negative, then our answer is 226 km. The answer asked us to find the closest distance, and thus, our answer is 200km.
Learn more about Pythagoras theorem here https://brainly.com/question/15138986
