Given a screen size of 216.5 inches wide and a 1.78:1 aspect ratio, how is the height of the projected image calculated?

To calculate the height of a projected image when given the width and the aspect ratio, the correct approach involves using the aspect ratio to correctly relate width to height. The aspect ratio of 1.78:1 indicates that for every 1.78 units of width, there is 1 unit of height.

In practical terms, to find the height, you take the width and divide it by the aspect ratio. In this case, the width is 216.5 inches. Therefore, the height is calculated by taking 216.5 inches and dividing it by 1.78. This division gives you the height that maintains the desired aspect ratio with respect to the given width.

Using the aspect ratio in the correct manner ensures that the dimensions of the projected image will fit perfectly to the intended display specifications, resulting in a correctly proportioned output. Calculation methods like multiplying or adding wouldn't yield the required height that corresponds to the width and aspect ratio together.