The beacon of a lighthouse 400 meters from a straight sea wall rotates at 6 revolutions per minute. Using the accompanying figures, write an equation expressing [math]s[/math], measured in meters, in terms of time [math]t[/math]. Assume that when [math]t=0[/math], the beam is perpendicular to the sea wall. Sketch a graph of the equation for [math]0\le t\le10[/math] seconds.[br][br]In the diagram below, adjust the slider for [math]t[/math] and see if you can find a relationship between[math]t[/math]  and [math]\theta[/math]. Then look for a way to express [math]s[/math] in terms of [math]\theta[/math] first and then in terms of [math]t[/math] .[br][br]Check the box to animate the lighthouse.