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There are two points P and Q due south of a leaning tower, which leans towards north.
P is at a distance x and Q is at a distance y from the foot of the tower (x > y).
The angles of elevation of the top of the tower from P and Q are 15° and 75° respectively.

What is the length of the tower?

Mathematics 2022 NDA Mathematics 2022 NDA 2022

Options

[(x − y) / 2√3] × [1 + 2 + √3(x + y)/(x − y)]²

[(x − y) / 2√3] × [1 + 2 − √3(x + y)/(x − y)]²

[(x − y) / 4√3] × [1 + 2 + √3(x + y)/(x − y)]²

[(x − y) / 4√3] × [1 + 2 − √3(x + y)/(x − y)]²