$25.$ Air Traffic Control An air traffic controller spots two planes at the same altitude converging on a point as they fly at right angles to each other $($see figure$).$ One plane is $225$ miles from the point moving at $450$ miles per hour. The other plane is $300$ miles from the point moving at $600$ miles per hour. $($a$)$ At what rate is the distance between the planes decreasing? $($b$)$ How much time does the air traffic controller have to get one of the planes on a different flight path? Figure for $25$ Figure for $26$

Air Traffic Control An air traffic controller spots two

planes at the same altitude converging on a point as they fly at

right angles to each other $($see figure$).$ One plane is $225$ miles

from the point moving at $450$ miles per hour. The other plane

is $300$ miles from the point moving at $600$ miles per hour.

$($a$)$ At what rate is the distance between the planes decreasing?

$($b$)$ How much time does the air traffic controller have to get

one of the planes on a different flight path?

Figure for $25$

Figure for $26$

draw graph for both questions