Friday

April 18, 2014

April 18, 2014

Posted by **becca** on Tuesday, January 17, 2012 at 12:29am.

- calculus -
**Steve**, Tuesday, January 17, 2012 at 2:41pmDraw a diagram

Let the tower be at (0,0)

plane A is at distance a = 300t West after t hours

Plane B is at position b = 400(t-1) North after t hours, counting from 12:00

The distance d between the planes is given by

d^2 = (300t)^2 + (400(t-1))^2

2d dd/dt = 2(300t)(300) + 2(400(t-1))(400)

at 2:00, t=2, so

d = 200√13

400√13 dd/dt = 360000 + 320000 = 680000

dd/dt = 6800/4√13 = 1700/√13 = 471.5

feel free to check my math...

**Related Questions**

math - A helicopter is 400 miles directly north of Ghana and is flying at 20 ...

Math - Two airplanes at 25,000 ft above the ground are flying toward the same ...

Calculus - An airplane is flying in still air with an airspeed of 325 miles per ...

math - two airplanes left the same airport traveling in opposite direction. if ...

calculus - an airplane is flying at an altitude of 6.7 miles towards a point ...

Algebra - This is soooo confusing! An airplane flies from New Orleans, Louisiana...

Trig. - An airplane flying at 600 miles per hour has a bearing of 52 degrees. ...

precalculus - an airplane flying at 550 miles per hour has a bearing of N 52(...

trig - An airplane flying at 600 miles per hour has a bearing of 152 degrees. ...

trig - Two Airplanes leave an airport at the same time on different runways. One...