Given the equation:
[tex]cos32=\frac{400.6}{H}[/tex]Let's rewrite the equation for H.
To rewrite for H, first multiply both sides by H:
[tex]\begin{gathered} Hcos32=\frac{400.6}{H}*H \\ \\ Hcos32=400.6 \end{gathered}[/tex]Now divide both sides by cos32:
[tex]\begin{gathered} \frac{Hcos32}{cos32}=\frac{400.6}{cos32} \\ \\ H=\frac{400.6}{cos32} \\ \\ H=472.38 \end{gathered}[/tex]ANSWER:
[tex]\begin{gathered} H=\frac{400.6}{cos32} \\ \\ H=472.38 \end{gathered}[/tex]