\( \mathrm{PQR} \) is a triangular park with \( \mathrm{PQ}=\mathrm{PR}=100 \mathrm{~m} \). A cl...

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\( \mathrm{PQR} \) is a triangular park with \( \mathrm{PQ}=\mathrm{PR}=100 \mathrm{~m} \).
A clock tower is situated at the mid point of \( \mathrm{QR} \).
The angles of elevation of the top of the tower at \( P \) and \( Q \) are \( \cot ^{-1} \) (3.2) and \( \operatorname{cosec}^{-1} \) (2.6) respectively. Find the height of the clock tower.
a. \( 13 \mathrm{~m} \)
b. \( 25 \mathrm{~m} \)
c. \( 75 \mathrm{~m} \)
d. None of these
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