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JEE Math Practice Question

The angle of elevation of the top $$\mathrm{P}$$ of a tower from the feet of one person standing due South of the tower is $$45^{\circ}$$ and from the feet of another person standing due west of the tower is $$30^{\circ}$$. If the height of the tower is 5 meters, then the distance (in meters) between the two persons is equal to

  1. A.10
  2. B.$$\frac{5}{2} \sqrt{5}$$
  3. C.$$5 \sqrt{5}$$
  4. D.5

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