Antonio's toy boat is bobbing in the water under a dock. The vertical distance $H$ (in $\text{cm}$) between the dock and the top of the boat's mast $t$ seconds after its first peak is modeled by the following function. Here, $t$ is entered in radians.
>$H(t) = {5}\cos\left({\dfrac{2\pi}{3}}t\right) - {35.5}$
**How long does it take the toy boat to bob down from its peak to a height of $-35\text{ cm}$?**
*Round your final answer to the nearest tenth of a second.*
[[☃ numeric-input 1]] seconds