Question 1164481: Problem: From a point on a level plain, the angle the angle of elevation of the top of the hill is 23°46' and a tower 45m high is on standing on the top of the hill subtends an angle of 5°16'. Find the height of the hill.
Answer by josgarithmetic(39627) (Show Source):
You can put this solution on YOUR website! For points the point on ground away from the hill, the top of tower, the bottom of tower, form a triangle. Best if you draw the whole description.
This upper triangle has angles
top of tower, 61 degree 58 minute
bottom of tower, 28 degree 2 minute
Length between these is 45 meter.
Angle opposite this is 5 degree 16 minute.
Use that to continue, and to finish. (More steps left undone here).
(A more efficient way may be possible.)
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