Respuesta :

Answer: 10.20 yd

Step-by-step explanation:

 h² + 5h - 155 = 0

a=1   b=5  c=-155

[tex]x = \frac{-b +/- \sqrt{b^{2}-4ac}}{2a}[/tex]

[tex]h = \frac{-5 +/- \sqrt{5^{2}-4(1)(-155)}}{2(1)}[/tex]

[tex]h = \frac{-5 +/- \sqrt{25+620}}{2}[/tex]

[tex]h = \frac{-5 +/- \sqrt{645}}{2}[/tex]

[tex]h = \frac{-5 +/- 25.40}{2}[/tex]

[tex]h = \frac{-5 +25.40}{2}[/tex]    ,    [tex]h = \frac{-5 - 25.40}{2}[/tex]

[tex]h = \frac{20.40}{2}[/tex]          ,     [tex]h = \frac{-30.40}{2}[/tex]

h = 10.20            h = -15.20  (height can't be negative)