Hampton is a small town on a straight stretch of coastline running north and south. A lighthouse is located 3 miles offshore directly east of Hampton. The light house has a revolving searchlight that makes two revolutions per minute. The angle that the beam makes with the east-west line through Hampton is called φ. Find the distance from Hampton to the point where the beam strikes the shore, as a function of φ. Include a sketch.

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Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.