November 12th, 2017, 07:58 AM  #11 
Global Moderator Joined: Dec 2006 Posts: 18,145 Thanks: 1418  
November 12th, 2017, 01:28 PM  #12 
Newbie Joined: Oct 2017 From: Redlands, CA Posts: 14 Thanks: 0 
I was thinking this question is asking how tall (height) the actual balloon is, since it gives different angles for the elevation and the bearings. The bearings would be to the tip of the balloon and the elevation angles would be to the base. I've had similar questions asking how tall a man is at the top of a cliff giving two different anglesone to his feet and one to his head. Otherwise why would the bearings and the elevation angles be different? I could be completely wrong but just what I was thinking.

November 12th, 2017, 10:58 PM  #13 
Newbie Joined: Oct 2017 From: Redlands, CA Posts: 14 Thanks: 0 
New thought: the ground is sloped. That's why the bearings and angles of elevation of each man does not add to 90. When I work it out with the ground being sloped I get that the balloon is at an elevation of approximately 1.3km from the sloping ground directly below it. Now I really want to know the answer. Hope this guys comes back. Last edited by JPow; November 12th, 2017 at 11:12 PM. 
November 14th, 2017, 03:58 AM  #14 
Newbie Joined: Oct 2017 From: UK Posts: 6 Thanks: 0 
Thanks for your efforts. The answer the book gives is 2.23km. @JPow: 2.28km seems close enough to be a rounding error causing the difference? 
November 14th, 2017, 09:42 AM  #15 
Newbie Joined: Oct 2017 From: Redlands, CA Posts: 14 Thanks: 0 
Interesting. Thanks for posting the answer. I may have rounded before the final answer. I'll look it over tonight.


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