A mass $m=0\mathrm{.}6kg$ is released from rest at the top edge of a hemispherical bowl with radius $=1\mathrm{.}0$ meters. The mass then slides without friction down the inner surface toward the bottom of the bowl. At a certain point of its path the mass achieves a speed $v=4\mathrm{.}36\frac{m}{s}.$ At this point, what angle $($in degrees$)$ does the mass make with the top of the bowl?