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JEE Math Practice Question

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 :

  1. A.$$\frac{6}{5}$$
  2. B.$$\frac{9}{5}$$
  3. C.$$\frac{4}{3}$$
  4. D.$$\frac{7}{3}$$

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