Antonio's toy boat is bobbing in the water next to a dock. Antonio starts his stopwatch, and measures the vertical distance from the dock to the height of the boat's mast, which varles in a periodic way that can be modeled approximately by a trigonometric function. The vertical distance from the dock to the boat's mast reaches its highest value of -27 cm every 3 seconds. The first time it reaches its highest point is after 1.3 seconds. Its lowest value is-44 cm. Find the formula of the trigonometric function that models the vertical height H between the dock and the boat's mast t seconds after Antonio starts his stopwatch. Define the function using radians. H(t) = What is the vertical distance 2.5 seconds after Antonio starts his stopwatch? Round your answer, if necessary, to two decimal places. cm

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