SOLUTION: From a plane 2,000 m above the sea level,the pilot observes two ships in line due west.The angles of depression of the two ships are 60 degrees and 70 degrees.How far apart are the

Question 585173: From a plane 2,000 m above the sea level,the pilot observes two ships in line due west.The angles of depression of the two ships are 60 degrees and 70 degrees.How far apart are the ships?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
From a plane 2,000 m above the sea level,the pilot observes two ships in line due west.
The angles of depression of the two ships are 60 degrees and 70 degrees.How far apart are the ships?
:
This forms two right triangles with interior angles of 30 degrees and 20 degrees
Side opposite = 2000, We want the difference between the two sides adjacent a & b;
:
Tan(30) = = 1154.7 m
Tan(20) = = 727.9 m
---------------------------------
distance between ships: 426.8 m
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