SOLUTION: from a balloon 1191 feet high, the angle of depression to the ranger headquarters is 72 degrees 54'. how far is the headquarters from a point on the ground directly below the ballo
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Question 1205167: from a balloon 1191 feet high, the angle of depression to the ranger headquarters is 72 degrees 54'. how far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)?
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
Hint:
This is one way to draw out the diagram
the 72.9° comes from 72° + (54/60)° = 72° + 0.9°
Recall there are 60 arc minutes in a degree, so that's why I divided 54 over 60.
Another hint:
tan(angle) = opposite/adjacent
tan(72.9) = 1191/x
I'll let you solve for x.
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