Posted by Denzel on Sunday, October 17, 2010 at 10:34pm.
A hot air balloon rising straight up form a level field is tracked by a range finder 500ft from the liftoff point. At the moment the range finders elevation ange is pi/4, the angle is increasing at 0.14 rad/min. How fast is the balloon rising at that moment?

calculus  Reiny, Sunday, October 17, 2010 at 10:49pm
h/500 = tan Ø
h = 500 tan Ø
dh/dt = 500sec^2 Ø dØ/dt
sub in the given information

calculus  pammy, Sunday, October 24, 2010 at 3:05pm
the answer is 140 m/sec
you can view the answer at
this is a website, it wont let me post
hutch.k12.mn.us/userFiles/
File/4.6_Related_Rates_Day_1_c
.pdf
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