Lighthouse Function p.553 #69
69. A Lighthouse Beacon
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 , measured in meters, in terms of time . Assume that when , the beam is perpendicular to the sea wall. Sketch a graph of the equation for seconds.
In the diagram below, adjust the slider for and see if you can find a relationship between and . Then look for a way to express in terms of first and then in terms of .
Check the box to animate the lighthouse.