Answer
67.2 inches
Work Step by Step
$w=0.00185h^{2.67}$
$w=140$
$w=0.00185h^{2.67}$
$140=0.00185h^{2.67}$
$140/0.00185=0.00185h^{2.67}/0.00185$
$75675.675=h^{2.67}$
$\sqrt[1/2.67] {75675.675} = \sqrt[1/2.67] {h^{2.67}}$
$75675.675^{1/2.67} = h^{(1/2.67)*(2.67)}$
$75675.675^{1/2.67} = h$
$75675.675^{.3745} = h$
$67.169 =h$