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Question

Quantitative Ability and Data Interpretation Question on Geometry

The topmost point of a perfectly vertical pole is marked A. The pole stands on a flat ground at point D. The points B and C are somewhere between A and D on the pole. From a point E, located on the ground at a certain distance from D, the points A, B and C are at angles of 60, 45 and 30 degrees respectively. What is AB : BC : CD?

A

(3+3):(1+3):1(3+ \sqrt{3}): (1+ \sqrt{3}):1

B

(3−3):1:(3−1)(3- \sqrt{3}):1:(\sqrt{3}-1)

C

1:1:11:1:1

D

(3−3):(3−1):1(3- \sqrt{3}):(\sqrt{3}-1):1

E

(3−1):1:(3−3)(\sqrt{3}-1):1:(3- \sqrt{3})

Answer

(3−3):(3−1):1(3- \sqrt{3}):(\sqrt{3}-1):1

Explanation

Solution

The correct answer is option (D):(3−3):(3−1):1(3- \sqrt{3}):(\sqrt{3}-1):1