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the angle of elevation of a cloud from a point h metres above the surface of a lake is theta and the angle of depression of its reflection in the lake is Φ.Prove that the height of the cloud above the lake is h (tan Φ + tan theta) / (tan Φ - tan theta) .......answer only if you know..... ​

Answer»

be the surface of the lake and O be the point of observation such that OA = h metres.Let P be the position of the cloud and P' be its reflection in the lake Then PN = P'NLet OM ⊥ PNAlso, ∠POM = α and ∠P'OM = βLet PM = xThen PN = PM + MN = PM + OA = X + hIn RT. ΔOPM, we haveIn rt. ΔOMP', we have,Equating (1) and (2):Hence, height of the cloud is given by PN = x + hHence provedYour answer⤴️⤴️PLEASE mate help mee too my recently POST question........xd not kidding please SEE my question and if u know answer I need mate



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