Answer:
[tex]h = 165 - \frac{v^2}{g}[/tex]
Step-by-step explanation:
Given
[tex]g(165 - h) = v^2[/tex]
Required
Make h the subject
[tex]g(165 - h) = v^2[/tex]
Divide both sides by g
[tex]165 - h = \frac{v^2}{g}[/tex]
Subtract 165 from both sides
[tex]165 - 165 - h = \frac{v^2}{g} - 165[/tex]
[tex]- h = \frac{v^2}{g} - 165[/tex]
Multiply both sides by -1
[tex]-1 * - h = (\frac{v^2}{g} - 165)*-1[/tex]
[tex]h = 165 - \frac{v^2}{g}[/tex]
