Hello, asnxbbyx113!
A plane flying horizontally at an altitude of 4 miles and a speed of 440 mph
passes directly over a radar station.
Find the rate at which the distance from the plane to the station is increasing
when it is 10 miles away from the station. Code:
x
+ - - - - - - - - - - - *
| *
| *
4 | *
| * R
| *
| *
| *
* - - - - - - - - - - - -
is the distance the plane has flown horizontally.
is the plane's distance from the station.
We have: .
Differentiate with respect to time: .
. . and we have: .
When , we have: .
. . and we are given: .
Therefore: . mph.