Horizontal and vertical resolutions in a TV system are not directly related, as they describe the number of pixels on different axes of the display. In the context of telescopes, resolution is inversely proportional to the diameter, leading to ALMA having a higher resolution than the Arecibo telescope.
Horizontal resolution is not directly related to vertical resolution in a TV system. These are separate specifications that describe different attributes of the TV display. Horizontal resolution refers to the number of individual dots, or pixels, that can be displayed horizontally across the screen. Vertical resolution, on the other hand, is the number of pixels that can be displayed vertically. Therefore, the correct answer to the question of how horizontal resolution is related to vertical resolution in a TV system is not related.
In the context of telescopes, resolution plays a different role. For a given wavelength, the resolution of a telescope is inversely proportional to its diameter. This means that smaller diameters lead to higher resolution. When comparing the ALMA (Atacama Large Millimeter/submillimeter Array) telescope operating at its longest baseline to the Arecibo telescope, the ALMA would have a much higher resolution because its effective diameter is much larger than that of the single-dish Arecibo telescope.