From two points on the ground lying on a straight line through the foot of a pillar the two angles ...........

Quantitative Aptitude ( CCS) Height and Distance

From two points on the ground lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distance of the two points from the foot of the pillar are 9 metres and 16 metres and the two points lie on the same side of the pillar, then the height of the pillar is

5 m

10 m

7 m

12 m

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Explanation:

Given, distance BD = 9 m and BC = 16 m
Let, the height of the pillar = h metre
∠ACB and ∠ADB are complementary.
∴ ∠ACB = Θ and ∠ADB = (90° – Θ)
In ΔABC,