## Exam-Style Question on Geometry## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 550. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is allowed.

The diagram shows a circle with its centre at the origin.

The red line AB is a tangent to the circle at the point B.

Angle OAB is 30°.

Point A has coordinates \((-10, 0)\)

Point C has coordinates \((5c, -2c)\)

Find the value of \(c\) giving your answer correct to three significant figures and showing all of your working.

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