A Ferris wheel at a county fair has a diameter of 60 feet and the riders board from a platform that is 15 feet above the ground. If the Ferris wheel completes one rotation every 5 minutes, express a rider's height, H, in feet above the ground as a function of time, t, in minutes. H left parenthesis t right parenthesis equals short dash 30 cos open parentheses fraction numerator 2 straight pi over denominator 5 end fraction t close parentheses plus 15 H left parenthesis t right parenthesis equals short dash 30 cos open parentheses fraction numerator 2 straight pi over denominator 5 end fraction t close parentheses plus 45 H left parenthesis t right parenthesis equals short dash 30 sin open parentheses fraction numerator 2 straight pi over denominator 5 end fraction t close parentheses plus 45 H left parenthesis t right parenthesis equals short dash 30 sin open parentheses fraction numerator 2 straight pi over denominator 5 end fraction t close parentheses plus 15