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.