A park maintenance person stands 16 m from a circular monument. Assume that her lines of sight form tangents to the monument and make an angle of 47. What is the measure of the arc of the monument that her lines of sight intersect?
To find the measure of the arc of the monument that the lines of sight intersect, we can use the properties of tangents and arcs on a circle.
First, we know that the angle formed by the two lines of sight must be half the measure of the intercepted arc. This means the angle formed is 47 degrees, so the arc it intersects is 2 * 47 = 94 degrees.
Therefore, the measure of the arc of the monument that her lines of sight intersect is 94 degrees.