2023 · Q68
ABCD 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?
Elementary MathematicsTrigonometry
- A√2
- B2
- C2√2
- D3√2
Explanation
O is the centre, so AO is half the diagonal: x√2/2 = x/√2. In right triangle APO, tanθ = AO/OP = (x/√2)/(2x) = 1/(2√2). Hence cotθ = 2√2 (C).