JEE Main 2014 Mathematics question
Not in JEE syllabus
The angle of elevation of the top of a vertical tower from a point P on the horizontal ground was observed to be α. After moving a distance 2 metres from P towards the foot of the tower, the angle of elevation changes to β. Then the height (in metres) of the tower is:
Answer: (1)
Solution
With the foot at distance x from P, . Solving, , so . Writing the tangents as ratios of
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