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Pluto's distance from the sun varies in a periodic way that can be modeled approximately by a trigonometric function.$\newline$Pluto's maximum distance from the sun (aphelion) is $7.4$ $billion$ $km$. Its minimum distance from the sun (perihelion) is $4.4$ $billion$ $km$. Pluto last reached its perihelion in the year $1989$, and will next reach perihelion in $2237$.$\newline$Find the formula of the trigonometric function that models Pluto's distance $D$ from the sun (in billion km) $t$ years after $2000$. Define the function using radians.$\newline$$D(t)=5.9+1.5 \cos\left(\frac{2\pi}{248}(t+11)\right)$$\newline$How far will Pluto be from the sun in $2000$? Round your answer, if necessary, to two decimal places.$\newline$$billion$ $km$