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Mathematics 9 Online
OpenStudy (unknownrandom):

Another related rates problem.

OpenStudy (unknownrandom):

A kite 75ft above the ground moves horizontally at a speed of 6ft/s. At what rate is the angle between the string and the horizontal decreasing when 200ft of string has been let out?

OpenStudy (unknownrandom):

|dw:1447810968669:dw|

OpenStudy (unknownrandom):

|dw:1447811157005:dw|

jimthompson5910 (jim_thompson5910):

@UnknownRandom so far, so good

jimthompson5910 (jim_thompson5910):

but that will come later, for now, let's say that the horizontal side is unknown and we'll call it x |dw:1447811709968:dw|

jimthompson5910 (jim_thompson5910):

"moves horizontally at a speed of 6ft/s" means dx/dt = 6

jimthompson5910 (jim_thompson5910):

|dw:1447811798918:dw| how can we tie together the 75, the x and the \(\Large \theta\) ? which trig function can we use?

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