Two vertical poles are 200 m apart and the height of one is double that of the other From the middle...........

Quantitative Aptitude ( CCS) Trignometry

Two vertical poles are 200 m apart and the height of one is double that of the other. From the middle point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary. Find the heights of the poles.

141 m and 282 m

70.5 m and 141 m

65 m and 130 m

130 m and 260 m

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Explanation:

Quantitative Aptitude : Height and Distance
Let AB and CD be the poles with heights h and 2h respectively.
Given that distance between the poles, BD = 200 m
Let E be the middle point of BD,
angle AEB = θ
angle CED = (90-θ) (? given that angular elevations are complementary)
Since E is the middle point of BD, we have BE = ED = 100 m
From the right ABE,