Answer:
TV is 16 inches tall.
Step-by-step explanation:
Given Data:
Width of TV = w = 30 inches
Diagonal length of TV = d = 34 inches
To Find out:
height of TV = h = ?
Formula:
According to Pythagoras's theorem.
[tex]d^{2} = h^{2} + w^{2}[/tex]
[tex]h^{2} = d^{2} - w^{2}[/tex]
Solution:
[tex]h^{2} = d^{2} - w^{2}[/tex]
[tex]h^{2} = 34^{2} -30 ^{2}[/tex]
[tex]h^{2} = 1156 -900[/tex]
[tex]h^{2} = 256[/tex]
[tex]h = \sqrt{256}[/tex]
h = 16 inches
Hence TV is 16 inches tall.
