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, V1 meters/sec for T seconds. Next, she travels from point B to C along a straight line, at a constant speed of V2 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 V2 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