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March 28, 2015

Posted by **matthew** on Friday, December 16, 2011 at 6:17am.

directly over a radar tracking station (on ground). If the distance D between the plane and the radar is

decreasing at a rate of 300 km/hr, find the speed of the plane when D remains 10 km.

- Caculas -
**Damon**, Friday, December 16, 2011 at 8:44amx^2 + h^2 = D^2

solve for x when D = 10 and h = 6

x = 8 (3,4,5 triangle)

2 x dx/dt + 2 h dh/dt = 2 D dD/dt

but dh/dt = 0

so

2 (8)v + 0 = 2 (10) 300

v = 3000/8

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