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Mathematics · 2022

JEE Main · 29 July 2022, Shift 1 · Q11

The angle of elevation of the top of a tower from a point A due north of it is α and from a point B at a distance of 9 units due west of A is…

The angle of elevation of the top of a tower from a point A due north of it is $\displaystyle \alpha$ and from a point B at a distance of $\displaystyle 9$ units due west of A is $\displaystyle \cos ^{-1}\left(\frac{3}{\sqrt{13}}\right)$. If the distance of the point B from the tower is $\displaystyle 15$ units, then $\displaystyle \cot \alpha$ is equal to :
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.