Question

Two posts are k metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in metres) of the shorter post is

• A. $k\sqrt2$
• B. $\frac{k}{4}$
• C. $\frac{k}{2\sqrt2}$
• D. $\frac{k}{\sqrt2}$

Answer 1

Answer: (C)

$\frac{k}{2\sqrt2}$

Answer 2

The correct option is (C): $\frac{k}{2\sqrt2}$