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nkirotedoreen46

Answer:

85.44 miles apart

Step-by-step explanation:

According to the question;

  • The airplane flew 80 miles west and 30 miles north

We are supposed to determine how far apart are the airports.

  • The shortest distance will be the displacement from the initial point.
  • We are going to use the Pythagoras theorem;
  • a² + b² = c² , where a and b are the legs of a right angled triangle and c is the hypotenuse.
  • Therefore, in this case; our legs will be 30 miles and 80 miles, so we need to determine the hypotenuse;

That is;

c² = 80² + 30²

    = 6400 + 900

    = 7300

c = √7300

  = 85.44

Thus, the airports are 85.44 miles apart

   

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