Answers:
- how tall is the TV? 24 inches
- Is there enough space to install it above your fireplace? Yes
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Explanation:
We have this given info:
- The diagonal of the TV is 40 inches...the width of the TV is 32 inches
Use the pythagorean theorem to find the height of the tv.
[tex]a^2+b^2 = c^2\\\\a^2+32^2 = 40^2\\\\a^2+1024 = 1600\\\\a^2 = 1600-1024\\\\a^2 = 576\\\\a = \sqrt{576} \ \text{ note that } a > 0\\\\a = 24[/tex]
The height of the tv is 24 inches. There is enough room to install the tv above the fireplace since 24 inches is less than the 42 inches of clearance.
