$D(t)$ models the distance (in thousands of $\text{km}$) from the earth to the Moon $t$ days after the moon's perigee (when it's closest to the earth). Here, $t$ is entered in radians. >$D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384$ **How many days after its perigee does the moon first reach $380$ thousands of $\text{ km}$ from the Earth?** *Round your final answer to the nearest whole day.* [[☃ numeric-input 1]] days