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A horizontal park is in the shape of a triangle OAB with AB = 16. A vertical lamp post OP is erected at the point O such that ∠ PAO = ∠ PBO = 15º and ∠ PCO = 45º, where C is the midpoint of AB. Then (OP) 2 is equal to

1. ) 1 3 ( 3 32 −
2. ) 3 2 ( 3 32 −
3. ) 1 3 ( 3 16 −
4. ) 3 2 ( 3 16 −

Correct answer: ) 3 2 ( 3 32 −

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