Apark maintenance person stands 19 m from a circular monument. if you assume her lines of sight tangents to the monument and make an angle of 34 degrees, what is the measure of the arc of the monument that her lines of sight intersect?
146
124
56
112

f the segments are tangent, then there are two arcs on the circle. The large one away from the person and the smaller one the person is looking at. Let x = the small arc Then the bigger arc is 360 - x since there are 360 degrees in a circle. Recall the theorem: an angle outside of a circle is equal to half the difference of the two arcs (something like that). Using this, we can set up the equation: 34 = (1/2)((360 - x) - x) because the angle on the angle formed by her lines of sight 34 = (1/2)(360 - 2x) 34 = (180 - x) x = 146    

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