Final answer:
Tyra needs to measure the width and height of the space above her mantle and compare those to the dimensions of TVs on the market. The biggest TV will be one where both the width and height fit within the space. The aspect ratio also has to be considered to ensure the TV dimensions correspond to the size that can be accommodated.
Step-by-step explanation:
To calculate the biggest TV that will fit above Tyra's mantle, she must measure the space available on the wall. Let's assume that the width and height of the available space have been measured. When talking about TV sizes, the measurement is typically for the diagonal of the screen. However, to ensure the TV will fit in the designated space, it's important to consider not just the diagonal measurement but also the actual width and height dimensions of the television, which include the frame or bezel.
Once Tyra has the width and height of the space above the mantle, she can compare these measurements to the dimensions of TVs on the market. There are online calculators that can convert a TV's diagonal measurement to its width and height for this purpose. With these tools, Tyra can determine the maximum screen size by choosing a TV whose dimensions do not exceed the available width and height on her wall.
Therefore, for a precise answer, the measurements of the wall space and the aspect ratio of the TVs being considered are crucial. If the width of the wall space is known, then the corresponding height considering the aspect ratio (usually 16:9 for modern TVs) can be calculated, or vice versa.