Question

A park maintenance person stands 16m from a circular monument. Assume that her lines of sight from 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?

A) 23. 5


B) 94


C) 266


D) 133

Answer 1

D 133 degrees

Explanation:

The measure of an angle external to a circle = the difference of the two arcs intercepted divided by 2

47 = [ (360 - x) - x ] / 2

94 = 360 - 2x

x = 133 degrees of the arc