2) The elevation of a tower at a station A due north of it is a and at a station B due west of A is B.
Prove that the height of the tower is
ABsina sinß
sin?a- sin2 B
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Answer:
(cot
2
β−cot
2
α)
AB
or
(tan
2
α−tan
2
β)
ABtanαtanβ
or
(sin
2
α−sin
2
β)
ABsinαsinβ
or
[sin(α+β)sin(α−β)]
1/2
ABsinαsinβ
if sin
2
α−sin
2
β=sin(α+β)sin(α−β)
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