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tmua.me Medium Set B Paper 1 · Q6

Paper 1Algebra

A drone is at a point TT vertically above a point OO on horizontal ground. Points AA and BB lie on a straight line on the ground, with AA between OO and BB.

The angles of elevation of TT from AA and BB are 60∘60^\circ and 30∘30^\circ, respectively, and AB=20 mAB=20\,\mathrm{m}.

What is the height OTOT?

Diagram for question 6

A10 m10\,\mathrm{m}
B2033 m\dfrac{20\sqrt3}{3}\,\mathrm{m}
C20 m20\,\mathrm{m}
D103 m10\sqrt3\,\mathrm{m}
E203 m20\sqrt3\,\mathrm{m}

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