Question

pq is a tangent of length 6cm to the circle with centre O and angle OQP=60 degrees .find oq

Answer 1

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Answer 2

Answer :
    OQ is 12cm
   
Step-by-step Explanation :
    Given : PQ is the Tangent of length 6cm and angel OQP = 60°    
    To find: OQ = ?
( Please see the attached document for diagram )
In ∆ OQP ,
We know that,
   Cos(alpha) = adjacent side/hypotenuse
Therefore,
  Cos60° = PQ/ OQ
But we know that, cos60° = 1/2
Substituting in above equation we can
  1/2 = 6/OQ
 OQ = 6 × 2
  OQ = 12 cm
Hence OQ is 12cm