SOLUTION: pilot 4870 m directly above the front of a straight train observes that the angle of depression of the end of the train is 62.2 degreee Find the length of the train.

Algebra ->  Triangles -> SOLUTION: pilot 4870 m directly above the front of a straight train observes that the angle of depression of the end of the train is 62.2 degreee Find the length of the train.      Log On


   



Question 1145599: pilot 4870 m directly above the front of a straight train observes that the angle of depression of the end of the train is 62.2 degreee Find the length of the train.
Found 2 solutions by Tatiana_Stebko, Edwin McCravy:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!


The plane is at point P.  The train is at the bottom of the
triangle. The angle of elevation from the plane down to the
end of the train is the same as the angle of elevation from 
the end of the train up to the plane. The train has length
x meters.
 
Now, with the above drawing, Tatiana's solution makes 
some sense:

tan%2862.2%29=4870%2Fx
x=4870%2Ftan%2862.2%29
x=2567.66m 

Edwin