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Questions  

From the top of a light house, the angles of depression of two stations on opposite side of it at a distance ‘a’ apart are α and β . The height of the light house is

a
asinα+sinβ
b
acosα+cosβ
c
atanα+tanβ
d
acotα+cotβ

detailed solution

Correct option is D

tanα=hx⇒x=hcotα, tanβ=ha−x⇒a−x=hcotβ∴a−hcotα=hcotβ⇒h=acotα+cotβ

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