A certain television is advertised as a 59-inch TV (the diagonal length). If the width of the TV is 49 inches, how tall is the TV? Round to the nearest tenth of an inch.
To find the height of the TV, we can use the Pythagorean theorem. Let the height be h inches.
Using the Pythagorean theorem, we have:
h^2 + 49^2 = 59^2
h^2 + 2401 = 3481
h^2 = 3481 - 2401
h^2 = 1080
h = √1080
h ≈ 32.8
Rounded to the nearest tenth of an inch, the height of the TV is 32.8 inches. Answer: \boxed{32.8}.