Hello, asnxbbyx113!
A kite 118 ft above the ground moves horizontally at a speed of 6 ft/s.
At what rate is the angle between the string and the horizontal decreasing
when 236 ft of string have been let out? Code:
x
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118 | *
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We have: .
Differentiate with respect to time: .
. . And we have: . [1]
When the string is feet, Pythagorus gives us:
. .
. . Then: .
. . And we are told that: . ft/sec.
Substitute into [1]: . radians/sec