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:
∴PA=hcotα
and h=PBtanβ
∴PB=hcotβ
Also from the right-angled triangle PAB, we get
PB2=PA2+AB2
∴AB2=PB2−PA2
=h2(cot2β−cot2α)
∴h=(cot2β−cot2α)AB
h=tan2α−tan2βABtanαtanβ
Substituitng, tanα=cosαsinα
Or ,
h=(sin2αcos2β−cos2αsin2β)
Explanation:
HOPE this ANSWER will HELP you
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Thankyou Vansh
Now I got answer to my on the spot Declaration today !
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