This animation visualizes a related rates problem: a beacon 5 km offshore sweeps once every 10 seconds, casting a light spot that races along a straight shoreline. It shows how the angle between the beam and the shore relates to the spot's position via x = 5 tan(theta), then differentiates to find the spot's speed at 45 degrees. Useful for calculus students and teachers covering related rates with trigonometric functions.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
A beacon makes one revolution every 10 seconds .It is located on a ship which is anchored 5 km from a straight shore line. How fast is the beam moving along the shore line when it makes an angle of 45 degree with the shore. Audience: Teacher