Posted by **Derick** on Tuesday, November 10, 2009 at 6:04pm.

How do I do this related rates problem?

A plane flying horizontally at an altitude of 1 mi and a speed of 510 mi/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 6 mi away from the station. (Round to the nearest whole number.)

- Calc -
**Reiny**, Tuesday, November 10, 2009 at 7:13pm
D^2 = 1^2 + x^2

2D(dD/dt) = 2x(dx/dt)

when D = 6

36 = 1 + x^2

x=√35

dD/dt = 2(6)510)/(2(√35))

= 517.23 mi/h

- Calc -
**reviewer**, Tuesday, March 9, 2010 at 7:30pm
this is wrong you solved for the wrong side you need to solve for the hypotenuse. 6 is not the hypotenuse its a side. so the actual is sqrt(37).

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