A flagstaff is placed on top of a building The flagstaff and building subtend equal angles at a poin...........

Quantitative Aptitude ( CCS) Height and Distance

A flagstaff is placed on top of a building. The flagstaff and building subtend equal angles at a point on level ground which is 200 m away from the foot of the building. If the height of the flagstaff is 50 m and the height of the building is h, which of the following is true?

h³ - 50h² + (200)²h + (200)²50 = 0

None of these

h³ + 50h² + (200)²h - (200)²50 = 0

h³ - 50h² - (200)²h + (200)²50 = 0

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Explanation:

Quantitative Aptitude : Height and Distance
Let AD be the flagstaff and CD be the building.
Assume that the flagstaff and building subtend equal angles at point B.
Given that AD = 50 m,
CD = h and BC = 200 m
Let angle ABD = θ, angle DBC = θ (? flagstaff and building subtend equal angles at a point on level ground).
Then, angle ABC = 2θ
From the right BCD,