A certain television is advertised as a 85-inch TV (the diagonal length). If the width of the TV is 67 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answer
Using the Pythagorean theorem, we can solve for the height of the TV.
Let the height of the TV be h.
According to the Pythagorean theorem, we have:
h^2 + 67^2 = 85^2
Simplifying, we have:
h^2 + 4489 = 7225
h^2 = 2736
Taking the square root of both sides, we find:
h ≈ 52.4 inches
Therefore, the TV is approximately 52.4 inches tall.