Question

Solve tle=" \sqrt{3} = \frac{h}{h - 3000} " alt=" \sqrt{3} = \frac{h}{h - 3000} " align="absmiddle" class="latex-formula">

Please, step by step

Answer 1

$\sqrt{3}(h-3000)=h$
$(\sqrt{3}h-\sqrt{3}(3000)=h$
$(\sqrt{3}-1)h=\sqrt{3}(3000)$
$h=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}$
$=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}$
$=7098.076$ (approximately)