The function $M(x)$ models the height, in meters above street level, of the tip of the minute hand of the Abraj Al Bait clock at $x$ minutes after midnight.

The expression ${H}({x})$ models the height, in meters above street level, of the tip of the hour hand at $x$ minutes after midnight.

$M(x)=430+23 \cos (\frac{\pi}{30} x)$

$H(x)=430+17 \cos (\frac{\pi}{360} x)$

Consider the following equation:

$y=|(430+23 \cos (\frac{\pi}{30} \cdot 45))-(430+17 \cos (\frac{\pi}{360} \cdot 45))|$

What does the solution set for the last equation represent?