Question

$A$ tower of height $h$' standing at the centre of a square with sides of length $a$' makes the same angle $\alpha$ at each of the four corners then $a^2=$

• A. $h^2{\cot }^2\alpha$
• B. $h^2{\tan }^2\alpha$
• C. $2h^2{\cot }^2\alpha$
• D. $2h^2{\tan }^2\alpha$

Answer 1

Answer: (C)

$2h^2{\cot }^2\alpha$

$\tan \alpha =\frac{h\sqrt{2}}{a}$
$a^2=2h^2{\cot }^2\alpha$