SOLUTION: Two stations due south of a leaning tower which leans towards north
are at distance a and b from its foot. If x and y are the elevation
of the top of the tower from these stat
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-> SOLUTION: Two stations due south of a leaning tower which leans towards north
are at distance a and b from its foot. If x and y are the elevation
of the top of the tower from these stat
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Question 1088961: Two stations due south of a leaning tower which leans towards north
are at distance a and b from its foot. If x and y are the elevation
of the top of the tower from these stations . Prove that its angle of
inclination z to the horizontal is given by cotz = (bcotx - acoty) / (b-a) Answer by Edwin McCravy(20064) (Show Source):
The drawing below has NORTH to the right and SOUTH to the left.
We look at the triangles separately
Triangle PQS:
Similarly for triangle PRS
We set the two expressions for PS equal to each other:
Divide both sides by sin(x)sin(y)sin(z)
Divide both sides by b-a
Edwin
