Trigonometry & DS: Flying Object Angle
XAT 2016 · QADI · Hard · Quantitative Ability
A person standing on the ground at point A saw an object at point B on the ground at a distance of 600 meters. The object started flying towards him at an angle of 30° with the ground. The person saw the object for the second time at point C flying at 30° angle with him. At point C, the object changed direction and continued flying upwards. The person saw the object for the third time when the object was directly above him. The object was flying at a constant speed of 10 kmph.
Find the angle at which the object was flying after the person saw it for the second time. You may use additional statement(s) if required. Statement I: After changing direction the object took 3 more minutes than it had taken before. Statement II: After changing direction the object travelled an additional 200√3 meters.
Which of the following is the correct option?
- A.
Statement I alone is sufficient to find the angle but statement II is not.
- B.
Statement II alone is sufficient to find the angle but statement I is not.
- C.
Statement I and Statement II are consistent with each other.
- D.
Statement I and Statement II are inconsistent with each other.
- E.
Neither Statement I nor Statement II is sufficient to find the angle.
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