Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(a)/Statement

A lighthouse is 1 km from the shore. Its beam rotates, taking 20 seconds for one full revolution.

(a) In the diagram at right, the dotted line is the beam of light; the solid line is the shortest line from the lighthouse to the shore; and $\theta$ is the angle between those two lines. What is ${\frac {d\theta }{dt}}$, in radians per second?

UBC Math 102 2019 Q10