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Question

Mathematics Question on Height & Distance

A tower PQPQ stands on a horizontal ground with base QQ on the ground The point RR divides the tower in two parts such that QR=15mQR =15 \,m If from a point AA on the ground the angle of elevation of RR is 6060^{\circ} and the part PRPR of the tower subtends an angle of 1515^{\circ} at AA, then the height of the tower is :

A

5(23+3)m5(2 \sqrt{3}+3) m

B

5(3+3)m5(\sqrt{3}+3) m

C

10(3+1)m10(\sqrt{3}+1) m

D

10(23+1)m10(2 \sqrt{3}+1) m

Answer

5(23+3)m5(2 \sqrt{3}+3) m

Explanation

Solution

From the given options the correct answer is option (A): 5(23+3)m5(2 \sqrt{3}+3) m