Tuesday

July 29, 2014

July 29, 2014

Posted by **mehak** on Saturday, March 12, 2011 at 9:29pm.

- calculus -
**Reiny**, Sunday, March 13, 2011 at 12:22amlet the horizontal distance from Quinton be x km

let the distance between plane and Quinto by y km

x^2 + 10^2 = y^2

2x dx/dt = 2y dy/dt

dy/dt = (x dx/dt)/y

when x=20

y^2 = 400 + 100 = 500

y = √500 = 10√5

dx/dt = 600 km/h

dy/dt = 20(600)/10√5 = appr. 536.7 km/h

- calculus -
**Mehak**, Sunday, March 13, 2011 at 12:42amBut did u use pythagoram theorom an how did u manipulate it ? And thanks because the answer is right .

- calculus -
**Reiny**, Sunday, March 13, 2011 at 12:51amyes, you can see in my first line of the solution that I used the Pythagorean theorem.

I then differentiate**with respect to time**, since we were talking about "rates" in the question and I saw a rate given as 600 km/h

- calculus -
**Mehak**, Sunday, March 13, 2011 at 1:09amThank you !

**Related Questions**

Calculus - A plane flies horizontally with a speed Of 600km/h at an altitude of ...

A plane flies horizontally at an altitude of 5 km - A plane flies horizontally ...

calculus - a plane flying horizontally at an altitude of 2 mi and a speed of 460...

calculus - A plane flying horizontally at an altitude of 1 mi and a speed of 560...

calculus - A plane flying horizontally at an altitude of 1 mi and a speed of 500...

Calculus Help - A plane flies horizontally at an altitude of 6 km and passes ...

CALCULUS - A plane, flying horizontally at an altitude of 1 km and a speed of ...

Cal - A plane flying horizontally at an altitude of 3 mi and a speed of 480 mi/h...

Calc - A plane flying horizontally at an altitude of 1 mi and a speed of 510 mi/...

math cal - A plane flying horizontally at an altitude of 3 mi and a speed of 480...