SOLUTION: Please help From an airplane at a height of 8200m the angles of depression to point A and B on opposite sides of a pond measure 27deg and 46deg find the width of the pond

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Question 1131986: Please help
From an airplane at a height of 8200m the angles of depression to point A and B on opposite sides of a pond measure 27deg and 46deg find the width of the pond
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
From an airplane at a height of 8200m the angles of depression to point A and B on opposite sides of a pond measure 27deg and 46deg find the width of the pond
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You get 2 right triangles. One side of each is 8200 meters.
Solve for the 2 bases.
The width of the pond is the difference between the 2 bases.
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If it's as MathLover drew it, her answer is correct.
If the plane is not over the pond, then it's the difference between the 2 bases.
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The position of the plane was not specified.
Not a well posed problem.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


AM%2BMB=AB
CM=8200m
from trianglr AMC, we have:

=>tan%2846%29=AM%2F8200m
AM=tan%2846%29%2A8200m
AM=8491.348m

from trianglr BMC, we have:
=>tan%2827%29=MB%2F8200m
MB=tan%2827%29%2A8200m
MB=4178.108m

since AM%2BMB=AB, we have:
AB=8491.348m%2B4178.108m
AB=12669.5m