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?

Answer 1

h/500 = tan Ø
h = 500 tan Ø
dh/dt = 500sec^2 Ø dØ/dt

sub in the given information

Answer 2

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