(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A kite 100 ft above the ground moves horizontally at a speed

of 8 ft!s. At what rate is the angle between the string and the

horizontal decreasing when 200 ft of string has been let out?

2. Relevant equations

tan [tex]\o[/tex] = [tex]x/y[/tex]

3. The attempt at a solution

After solving for the sides of the triangle i got X = 173.21, Y = 100 and Z = 200 and [tex]\o[/tex] = 1.047 rads

then i took the derivative of the equation that links [tex]\o[/tex] with the opposite and adjacent of the triangle and plugged in the variables which gave me:

I got [tex]d\o/dt = .055 rad/sec[/tex]

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# Homework Help: Related Rates - Kite Problem

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