Answer:
h = 7.0 inches
Step-by-step explanation:
We are given [tex]d=\sqrt{w^{2}+h^{2} }[/tex], where [tex]d=13.3[/tex] and [tex]w=11.3[/tex]
Sub in these values into the equation,
[tex]13.3=\sqrt{11.3^{2}+h^{2} }[/tex]
[tex]13.3=\sqrt{127.69+h^{2} }[/tex]
Square both sides to get rid of the square root,
[tex]176.89=127.69+h^{2}[/tex]
Collect like terms,
[tex]49.2 = h^{2}[/tex]
Square root both sides to get h by itself,
[tex]h = 7.0[/tex] inches (1 d.p.)
Hope this helped!!
