Homework Help: Cal

Posted by Jordan on Thursday, November 11, 2010 at 3:42pm.

A plane flying horizontally at an altitude of 3 mi and a speed of 480 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.)

Cal - MathMate, Thursday, November 11, 2010 at 4:20pm
Use Pythagoras theorem.
x=horizontal distance from station
L(x)=oblique distance from station
L(x)=√(480²+x²)
dx/dt = horizontal speed = 480 mph
Find dL(x)/dx by differentiation.
Then
dL(x)/dt
= dL(x)/dx * dx/dt
Cal - Anyomous, Thursday, November 11, 2010 at 6:31pm
that makes no sense

Answer this Question

Related Questions

math cal - A plane flying horizontally at an altitude of 3 mi and a speed of 480...
calculus - a plane flying horizontally at an altitude of 2 mi and a speed of 460...
Calc - A plane flying horizontally at an altitude of 1 mi and a speed of 510 mi/...
calculus - A plane flying horizontally at an altitude of 1 mi and a speed of 560...
Calc - How do I do this related rates problem? A plane flying horizontally at an...
calculus - A plane flying horizontally at an altitude of 1 mi and a speed of 500...
Calc - An airplane is flying at a speed of 350 mi/h at an altitude of one mile ...
Calc - A plane that is flying horizontally at an altitude of 6 kilometers and a ...
PRECALCULUS - An airplane is flying at a speed of 250 mph at an altitude of 4 ...
Calculus - An airplane is flying at a speed of 350 mi/h at an altitude of one ...

For Further Reading

First Name:
School Subject:
Answer: