Answer:
The height of Mike’s new television is 32.32”
Solution:
Given that Mike’s new TV has diagonal measurement of 55” and length of 44.5’’.
We have to find the height of his new TV.
For a rectangle, relation between length, height and diagonal is given as,
[tex](\text{ Diagonal })^{2}=(\text {length})^{2}+(\text {height})^{2}[/tex] ---- eqn 1
As generally TV is rectangular shape, substituting the given dimensions in equation 1, we can find the height of his new TV
[tex]55^{2} = 44.5^{2} + \text { height }^{2}[/tex]
Rearranging the terms, we get
[tex]height^{2} = 55^{2} - 44.5^{2}[/tex]
Taking square root on both sides, we get
[tex]\text {height} = \sqrt{(55)^{2} - (44.5)^{2}}[/tex]
[tex]=\sqrt{3025 - 1980.5}[/tex]
[tex]=\sqrt{1044.5}[/tex]
= 32.32”
Hence height of Mike’s new television is 32.32”.
