Select your answer If the hours of daylight in Miami can be approximated using a sinusoidal wave, what is the amplitude of the function if the shortest day in Miami is 10 hours and 52 minutes long and the longest day in Miami is 13 hours and 45 minutes long? 43 minutes 64 minutes 87 minutes 173 minutes 346 minutes

To find the amplitude of the sinusoidal wave representing the hours of daylight, we first convert the hours and minutes into just minutes. The shortest day is 10 hours and 52 minutes (which is 652 minutes) and the longest day is 13 hours and 45 minutes (which is 825 minutes). The amplitude is calculated as half the difference between the longest and shortest days: \[ \text{Amplitude} = \frac{(825 - 652)}{2} = \frac{173}{2} = 86.5 \text{ minutes} \] Since we round to the nearest whole minute, the amplitude of the swing in daylight is approximately 87 minutes, so the correct answer is **87 minutes**. Now we know the amplitude is the measure of how much the daylight hours deviate from the average, so you can enjoy planning those beach trips in the summer when the days are longer!