A plane flying horizontally at a altitude of 4mi and a speed of 440mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 10mi away from the station.

Thanks!

Printable View

- January 6th 2007, 05:33 PMasnxbbyx113Calculus related rates
A plane flying horizontally at a altitude of 4mi and a speed of 440mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 10mi away from the station.

Thanks! - January 6th 2007, 10:21 PMSoroban
Hello, asnxbbyx113!

Quote:

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.