UPSC CDS 2 2023 Math Paper

Question Numbers: 33-34
Consider the following for the next items that follow:
AB is a straight road leading to the foot P of a tower of height h. Q is at distance x from P and R is at a distance y from Q (R is farther from P than Q; R, Q are on the same side). The angle of elevation of the top of the tower at Q is twice of that at R.
(Use the formula tan 2θ=‌

2‌tan‌⁡θ‌

1−tan‌2⁡θ

)