Answer:
15.7 inches
Step-by-step explanation:
We can use the Pythagorean Theorem a² +b² = c² to solve for the remaining leg of the triangle
In the image attached, we will be solving for "b" in which this case I denoted as x
So manipulating our equation to solve for b we get [tex]b=\sqrt{c^{2}-a^{2} }[/tex]
Plugging in the respective values we get [tex]x = \sqrt{(27)^{2}-(22)^{2} } =\sqrt{729-484}=\sqrt{245} = 7\sqrt{5}[/tex]
Our height of the TV is [tex]7\sqrt{5}[/tex] which is ≈15.7 inches
