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Problem #569
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569

The diagram shows part of the graph of \(y = k \sin(\theta + \alpha)\), where \(k\) and \(\alpha\) are constants and \(0^\circ < \alpha < 180^\circ\). The graph has a maximum point at \(y = 2\) and \(\theta = 0^\circ\), and it crosses the \(\theta\)-axis at \(\theta = 150^\circ\). Find the value of \(\alpha\) and the value of \(k\).

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