Calculus I

Problem:
A hot air balloon rising straight up from a level field is tracked by a range finder located 500 feet from the point of liftoff.
Express the balloon’s height as a function of the angle the line from the range finder to the balloon makes with the ground.
If the sine of the angle is , find the height of the balloon.

a) Given the above problem, provide written responses to address the following points as precisely and thoroughly as possible.
b) Explain the problem in your own words.
c) What mathematical concepts learned in this module apply to this problem?
d) Explain the steps you must take to solve this problem
e) What is the most difficult aspect of solving this problem?
f) Explain exactly what the answer means from a mathematical perspective.

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