Q:

Mike’s new TV has a diagonal measurement of 55” and the length of 44.5” what is the height of his new TV

Accepted Solution

A:
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”.