Given:
There is a ratio given as 16:9 of width to height and diagonal is 27 iniches
Required:
We need to find the value of height
Explanation:
By ratio
[tex]\begin{gathered} \frac{w}{h}=\frac{16}{9} \\ \\ h=\frac{9}{16}w \end{gathered}[/tex]
where w is width and h is height
by using pythagorean theorem
[tex]\begin{gathered} 27^2=h^2+w^2 \\ 729=\frac{81}{256}w^2+w^2 \\ \\ 186624=81w^2+256w^2 \\ w^2=553.78 \\ w=23.5\text{ in} \end{gathered}[/tex]
to find h
[tex]h=\frac{9}{16}*23.5=13.24\text{ in}[/tex]
Final answer:
height is 13.24 inches
