Hugo's bike tire has a piece of gum stuck to it. The distance $G(t)$ (in $\text{cm}$) between the gum and the sidewalk as a function of time $t$ (in seconds) can be modeled by a sinusoidal expression of the form $a\cdot\sin(b\cdot t)+d$. At $t=0$, the gum is halfway between the ground and its maximum height, at $35\text{ cm}$. The gum reaches its maximum height of $70 \text{ cm}$ from the ground $\dfrac{\pi}{20}$ seconds later. **Find $G(t)$.** *$\textit{t}$ should be in radians.* $G(t) = $ [[☃ expression 1]]