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