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The diagram shows a circle, centre

*O*.

*AB*is the tangent to the circle at the point

*A*.

Angle

*OBA*30°

Point

*B*has coordinates (16, 0)

Point

*P*has coordinates (3

*p*,

*p*)

Find the value of

*p*.

Give your answer correct to 1 decimal place.

You must show all your working.

**Question**

*AB*is the tangent to the circle at the point

*A*.

Angle

*OBA*30°

Point

*B*has coordinates (16, 0)

Point

*P*has coordinates (3

*p*,

*p*)

Find the value of

*p*.

Give your answer correct to 1 decimal place.

You must show all your working.

**[4 marks]**