A rotating light is located 19 feet from a wall. The light completes one rotation every 3 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 15 degrees from perpendicular to the wall.**Diagram:**- The diagram shows a wall and a light source located 19 feet away from the wall.- A line represents the light beam projecting from the light source to the wall.- The angle between the perpendicular line from the light to the wall and the light beam is labeled.**Input Box:**- There is an input box where you can enter your answer in feet per second.**Instructions:**- Answer is a positive value. Give your answer accurate to at least one decimal place.**Question Help:**- A video link is provided for additional help.**Submit Button:**- A "Submit Question" button is available to submit your answer.

Given, AC=19ft.∠ACB=15°Let, AB=x ft. Then, tan15°=x19⇒0.268=x19⇒x=5.092Now, the light completes one rotation in 3 sec. So, Angle rotates 360° in 3 sec. Then, angle rotates 15° in 3360×15=0.125 secRate=5.0920.125 ft./s=40.736 ft./s≈40.7 ft./sHence, the required rate is 40.736 ft./s