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

Question id: 318. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is not allowed.

The diagram shows parallelogram ABCD in which AD = \(x\) cm, DE = 12 cm and angle ABC = 30°

Prove that α, the size of angle CDE, is sin^{-1}\( \left( \frac{x}{24} \right) \)

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