RRB Junior Engineer / DMS / CMA 2019 · Question 3149 of 3719

From the points 'x' m and 'y' m away from the foot of a tree on either side of it the angles of elevation of the tree-top are $$ \alpha , \beta $$ respectively. If $$ \alpha + \beta = 90^\circ $$, then find the height of the tree.

1. A$$ x \cos \alpha + y \cos\beta $$
2. B$$ \sqrt{xy} $$Correct
3. C$$ \frac {(x+y)^2}{2} $$
4. D$$ (x-y)^2 $$