Posted by Haley on Tuesday, November 6, 2012 at 2:21pm.
two observers 3 miles apart and facing each other find that the angles of the elevation of a balloon in the same vertical plane with themselves are 28degree and 31 degree respectively.find the distance from the balloon to the observer located at the 31 angle?

precalc  Steve, Tuesday, November 6, 2012 at 2:52pm
Label the observers A and B, with point C on the line AB, directly below the balloon, at point D.
If x is the distance CB, then since AC+CB=3,
(3x)tan28° = xtan31°
x = 1.4 miles.
Now, you want the distance DB, which is
x/DB = cos31°
DB = x/cos31° = 1.4/.857 = 1.63 miles
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