The angles of elevation of the top of a tower from two points at a distance of 16 m and m
from the base of the tower and in the same straight line with it are complementary. Prove
that the height of the tower is 12.
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Answer:
∠C and ∠D are complementary .....given
In △ABC,BCAB=tanQ ...(i)
In △ABD,BDAB=tan(90−Q)
9AB=cotQ ...(ii)
9AB=tanQ1andtanQ=AB7
Put value of tanQ in eqn (ii)
∴BCAB=AB9
AB2=9BC
AB=36=6
Height of tower =6m
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