In the figure below, find the value of a rounded to the hundredths place, given that A is 64°, c is 10 cm, and b is 16 cm.

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In the figure below, find the value of <em>a</em> rounded to the hundredths place, given that <em>A</em> is 64°, <em>c</em> is 10 cm, and <em>b</em> is 16 cm.<br><img src='https://www.fatskills.com/images2/GradExams/7A337626-EFD9-4ED4-85C4-9C3E745D3011.jpg' height='138' width='306'/>