As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle C = 30.0, the radius of circle O is 5.0, if point P is a point on circle O, in triangle ABP, PB = AB, then the length of PA is ( )
Choices:
A:5
B:\frac{5√{3}}{2}
C:5√{2}
D:5√{3}
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle C = 30.0, the radius of circle O is 5.0, if point P is a point on circle O, in triangle ABP, PB = AB, then the length of PA is ( )
Choices:
A:5
B:\frac{5√{3}}{2}
C:5√{2}
D:5√{3}
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle C = 30.0, the radius of circle O is 5.0, if point P is a point on circle O, in triangle ABP, PB = AB, then the length of PA is ( )
Choices:
A:5
B:\frac{5√{3}}{2}
C:5√{2}
D:5√{3}