Mathematics · 2014
JEE Main · 11 April 2014, Shift 1 · Q89
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…
The angle of elevation of the top of a vertical tower from a point P on the horizontal ground was observed to be $\displaystyle \alpha$. After moving a distance $\displaystyle 2$ metres from P towards the foot of the tower, the angle of elevation changes to $\displaystyle \beta$. Then the height (in metres) of the tower is :
Official answer
(1)
$\displaystyle \frac{2 \sin \alpha \sin \beta}{\sin (\beta-\alpha)}$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.