# Skater in a Bowl#

A skater dips into a hemispherical bowl ($$r_0 = {{params.ro}}m$$) with an initial velocity of $$v_0 = {{params.vo}}m/s$$ tangent to the horizontal rim of the bowl. As the skater rounds the bowl, its rotational radius $$r$$ shrinks. As the skater passes point B, which is $$h = {{params.h}}m$$ below the rim, and $$r$$ from the centre line, the velocity makes an angle $$\theta$$ with the horizontal tangent of the bowl through B. Determine $$\theta$$.

## Part 1#

Please enter in a numeric value in $$^\circ$$.