Height and Distance: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jul, Morning shift · Q3934

JEE Main 202229 Jul, Morning shiftMathematicsMediumHeight and Distance38× since 2004

The angle of elevation of the top of a tower from a point A due north of it is

\alpha

and from a point B at a distance of 9 units due west of A is

\cos ^{-1}\left(\frac{3}{\sqrt{13}}\right)

. If the distance of the point B from the tower is 15 units, then

\cot \alpha

is equal to :

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