37 Griffin is riding his bike down the street in Churchville, N. Y. at a constant speed, when a nail gets caught in one of his tires. The height of the nail above the ground, in inches, can be represented by the trigonometric function
SO) = -13 cos(0.87t) + 13, where t represents the time in seconds) since the nail first became caught in the tire.
Determine the period of f(t). Interpret what the period represents in this context. On the grid below, graph at
least one cycle of f(t) that includes the y-intercept of the function.
I
Does the height of the nail ever reach 30 inches above the ground? Justify your answer.