Question

an airplane lands at an airport 80 miles west and 30 miles north of where it took off. How far apart are the airports.

Answer 1

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