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Question

Quantitative Ability and Data Interpretation Question on Trigonometry

A girl travels along a straight line, from point A to B at a constant speed, V1V_1 meters/sec for T seconds. Next, she travels from point B to C along a straight line, at a constant speed of V2V_2 meters/sec for another T seconds. BC makes an angle 105° with AB. If CA makes an angle 30° with BC, how much time will she take to travel back from point C to A at a constant speed of V2V_2 meters/sec, if she travels along a straight line from C to A?

A

0.5(√3 – 1)T

B

T

C

0.5(√3 + 1)T

D

√3T

E

None of the above

Answer

0.5(√3 + 1)T

Explanation

Solution

The correct option is (C) : 0.5(√3 + 1)T