A $7\mathrm{.}1$ second, $1m$ wave $($in deep water$)$ approaches a beach with a $1$:$20$ slope. Do not consider wave refraction, reflection, diffraction, and dissipation.

$($a$)$ What is the estimated breaker height? $(2$ points$)$

$($b$)$ What is the estimated breaking depth? $(2$ points$)$

$($c$)$ What is the estimated runup on a smooth impermeable beach slope? $(2$ points$)$

$($d$)$ What would be the estimated runup if the beach is entirely covered with grass? $(2$ points$)$