A pendulum is swinging next to a wall. The distance from the bob of the pendulum to the wall varies in a periodic way that can be modeled by a trigonometric function. The modeling function has period 0.80.80, point, 8 seconds, amplitude 6 \text{ cm}6 cm6, start text, space, c, m, end text, and midline H = 15 \text{ cm}H=15 cmH, equals, 15, start text, space, c, m, end text. At time t = 0.2t=0.2t, equals, 0, point, 2, the bob is at its midline, moving towards the wall. Find the formula of the trigonometric function that models the distance HHH between the bob and the wall after ttt seconds. Define the function using radians. \qquad H(t) =H(t)=H, left parenthesis, t, right parenthesis, equals What is the distance from the pendulum to the wall after 0.50.50, point, 5 seconds? Round your answer, if necessary, to two decimal places. \qquad