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.

Question

Answer

Answer 1

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.