Question

A kite is being pulled down by a string that goes through a ring on the ground 8 meters away from the person pulling it. If the string is pulled in at 1 meter per second, how fast is the kite coming down when it is 15 meters high?

Answer 1

x² + h² = y²

`\implies` x² + 225 = y²

Given, `dy/dx` = 1 m/sec

Differentiating w.r.t ‘t’

`2xdx/dt = 2ydy/dt`

`8 xx dx/dt = 17 xx 1`