$1$ : $13$ PM Sun Apr $14$ $\newline$ $\cdots$ $\newline$ HAlg $11$ . $5$ B Mid-Point Formula $\newline$ SHORT RESPONSE The point of no return in aviation is the farthest point to which a plane can fly and still have enough fuel to return to its starting place or to fly to an alternative landing destination. After a plane passes the point of no return, it must fly to its planned destination. The distance between consecutive grid lines represents $50$ nautical miles. $\newline$ The flight path of a plane is from airport A to airport B. The plane is currently at the midpoint of the flight path. How far away is the plane from airport A? Round your answer to the nearest nautical mile. $\newline$ $\square$ $\newline$ The plane's point of no return is calculated to be $200$ nautical miles.

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Algebra 2

Pythagorean Theorem and its converse

Full solution

1

13

PM Sun Apr

14

\newline

\cdots

\newline

HAlg

11

5

B Mid-Point Formula

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SHORT RESPONSE The point of no return in aviation is the farthest point to which a plane can fly and still have enough fuel to return to its starting place or to fly to an alternative landing destination. After a plane passes the point of no return, it must fly to its planned destination. The distance between consecutive grid lines represents

50

nautical miles.

\newline

The flight path of a plane is from airport A to airport B. The plane is currently at the midpoint of the flight path. How far away is the plane from airport A? Round your answer to the nearest nautical mile.

\newline

\square

\newline

The plane's point of no return is calculated to be

200

nautical miles.

Question Prompt: question_prompt: How far away is the plane from airport $A$ ?
Midpoint Location: The plane is at the midpoint of the flight path between airport $A$ and airport $B$ .
Point of No Return: The point of no return is $200$ nautical miles, which is less than the distance to the midpoint since the plane has already reached the midpoint.
Distance Calculation: Since the distance between consecutive grid lines is $50$ nautical miles, we can use this to find the total distance of the flight path.
Total Distance Calculation: The total distance from airport A to airport B is twice the point of no return, so $2 \times 200$ nautical miles $= 400$ nautical miles.