A ladder rests against a wall at an angle α to the horizontal. Its foot is pulled away from the wall through a distance a slides a distance b down the wall making an angle β with the horizontal. Choose the correct option-
A
a=btan(α+β2)
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B
b=atanα+β2
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C
a=bsinα+β2
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D
b=asinα+β2
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Solution
The correct option is Aa=btan(α+β2) In△OQS,cosβ=OSQS⇒OS=ℓcosβ