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(52908)   (Show Source): You can put this solution on YOUR website!
.
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 =  =  of an hours.


3.  The averaged rate of traveling is   =  = 6*(tan(20°) - tan(15°)) kilometers per hour.

You complete all calculations.



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