Two posts are x metres apart and the height of one is double that of the other If from the mid point...........

Quantitative Aptitude ( CCS) Trignometry

Two posts are x metres apart and the height of one is double that of the other. If from the mid-point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in metres) of the shorter post is

x / 2√2

x /4

x √2

x / V2

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Explanation:

Given, BC = x metre,
Let E is the mid-point of BC
∴ BE = EC = x/2 metre
Let, the height of the pole AB = h metre
∴ The height of the pole CD = 2h metre
And, ∠AEB and ∠DEC are complementary.
∴ ∠AEB = (90° – Θ) and ∠DEC = Θ
In ΔABE,