SOLUTION: A hot air balloon is released into the air. During its straight ascent, the angle of elevation was 15° and, 3 minutes later, the angle of elevation increased 20°. How fast is the b

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Question 1088173: A hot air balloon is released into the air. During its straight ascent, the angle of elevation was 15° and, 3 minutes later, the angle of elevation increased 20°. How fast is the balloon traveling, in km/h, if the angle measurements were taken 300m away from the launch site?
Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
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1.  The distance (height) is  H = 300*tan(20°) - 300*tan(15°) meters, 0r 0.3*(tan20°)-tan(15°)) kilometers.  Calculate.


2.  The time is T = 3%2F60 = 1%2F20 of an hours.


3.  The averaged rate of traveling is  H%2FT = %280.3%2A%28tan%2820%5Eo%29-tan%2815%5Eo%29%29%29%2F%28%281%2F20%29%29 = 6*(tan(20°) - tan(15°)) kilometers per hour.

You complete all calculations.