Answer:
(a) The width is 40 inches
(b) It will not
Step-by-step explanation:
Given
[tex]D = 50[/tex] -- Diagonal
Solving (a): H = 30 --- (height).
Find the width (W)
To do this, we make use of Pythagoras theorem
[tex]D^2 = H^2 + W^2[/tex]
This gives:
[tex]50^2 = 30^2 + W^2[/tex]
[tex]2500 = 900 + W^2[/tex]
Collect Like Terms
[tex]W^2 = 2500 - 900[/tex]
[tex]W^2 = 1600[/tex]
Take square roots
[tex]W = 40[/tex]
Solving (b): Will it fit into a 30 in wide cabinet?
In (a) above, we calculated the width of the TV to be 40 inches
This implies that, the width is greater than the width of the cabinet.
So, it will not fit in
