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The angle of elevation of the top \(P\) of a tower from the feet of one person standing due South of the tower is \(45^{…

Q1

The angle of elevation of the top \(P\) 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

[JEE Main 2023, 11 Apr (Shift 2)]

a

10

b

5

c

\(5\sqrt{5}\)

d

\(\frac{5}{2}\sqrt{5}\)

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