AIR MATH

Math Question

Part IV Use the following data from the Washington, DC area from Bob Ryan's 1992 Almanac to answer the questions below. \( { }^{* *} \) Military time is a 24 hour clock that begins at midnight, represented by \( 00: 00.6: 15 \mathrm{pm} \) would be written as \( 18: 15 \). \begin{tabular}{|c|c|c|c|} \hline Date & Day & Sunrise & Sunset in Military time \\ \hline March 20 & 80 & \( 6: 12 \mathrm{am} \) & \( 18: 20 \) \\ \hline June 20 & 172 & \( 4: 42 \mathrm{am} \) & \( 19: 36 \) \\ \hline September 20 & 266 & \( 5: 55 \mathrm{am} \) & \( 18: 04 \) \\ \hline December 20 & 356 & \( 7: 23 \mathrm{am} \) & \( 16: 50 \) \\ \hline \end{tabular} 1. Using the equation \( y=1.38 \sin \left(\frac{\pi}{183}(x-80)\right)+18.22 \) to represent the sunset function, explain in words what the following values represent. a. \( 1.38 \) b. \( 18.22 \mid \) c. Use \( \frac{\pi}{183} \) to find the period. What does this mean in the context of the sunset times?

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