Screen's diagonal 25 inches, we need to find its height and width
\(\frac{width}{height}=\frac{4}{3}\)
\(width = 4\times \frac{height }{3}\)
We know tv is a rectangle in shape
so
\(width^2+height^2= diagonal^2
\\{(\frac{4}{3} \times height)}^2+ height ^2=625
\\
\\\frac{25}{9} height^2=625
\\height^2= {225}
\\height= 15
\\width=\frac{4}{3} \times 15=20\)
width= 20 inches
height= 15 inches
So movie with 1.85:1 aspect ratio will occupy width of 20 inches, so its height
\(\frac{width}{height} =\frac{1.85}{1}
\\
\\height= \frac{width}{1.85} =\frac{20}{1.85} =10.81\text{ inches}
\\\)
So movie will occupy a height 0f 10.81 inches on tv