geometry
posted by Samuel on .
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? Please don't just answer it tel me how to do it. Thanks :)

P = 47 Deg.
Arc AB is the Arc Intercepted by P.
Arc ACB is The remainder of the circle.
AB = 360  ACB.
(ACBAB)/2 = P
Substitute 360ACB for AB
(ACB(360ACB))/2 = 47
Multiply both sides by 2:
(ACB(360ACB)) = 94
ACB360+ACB = 94
2ACB360 = 94
2ACB = 94+360 = 454
ACB = 454/2 = 227 Deg.
AB = 360ACB = 360227 = 133 Deg.