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Answer :
Final answer:
The height of the TV is approximately 32.9 inches.
Explanation:
To find the height of the TV, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two sides (the width and the height). In this case, the width is 49 inches and the diagonal is 59 inches. Let's denote the height as 'h'. So, we have:
(49)^2 + h^2 = (59)^2
Simplifying the equation, we get:
2401 + h^2 = 3481
Subtracting 2401 from both sides, we have:
h^2 = 1080
Taking the square root of both sides, we find:
h ≈ 32.9 inches
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