Question
Download Solution PDFABCD is a square field with AB = x. A vertical pole OP of height 2x stands at the centre O of the square field. If ∠APO = θ, then what is cot θ equal to ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
AB = x
∠APO = θ
Concept used:
Diagonal of square = √2a
cotθ = base/perpendicular
Calculation:
According to the above concept,
Diagonal of square = √2a
⇒ AC = x√2
⇒ OA =
Now, according to the above figure,
In ΔOAP,
⇒ cotθ =
⇒ cotθ = 2√2
∴ The required value of cotθ is 2√2
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