SOLUTION: IN circle O, OA and OB are radii and the measure of angle BOA eqals 120. Tangents PA and PB have length 10. find OA

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Question 313359: IN circle O, OA and OB are radii and the measure of angle BOA eqals 120. Tangents PA and PB have length 10. find OA
Answer by Fombitz(32388) About Me  (Show Source):
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The tangents and the radii form (30-60-90) right triangles (OAP and OBP) with legs R and 10.
OP is the bisector of angle 120.
tan%2830%29=R%2F10
R=10%2Atan%2830%29
R=5.77