Chapter 13, Trigonometric Ratios and Functions - 13.2 Define General Angles and Use Radian Measure - 13.2 Exercises - Quiz for Lessons 13.1 and 13.2 - Page 865: 6

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Given: $B=37$ degrees $c=12$ Thus, $C=90$ It is a right triangle. Hence, the sum of two non-right angles of a triangle is 90 degrees: $A=90-B=90-37=53$ degrees We know $\cos B=\frac{a}{c}\\ \rightarrow a=c\cos B=12\times \cos 37\approx 9.58$ Apply the Pythagorean theorem to find c: $a^2+b^2=c^2\\b=\sqrt c^2-a^2\\c=\sqrt 12^2+(12\cos 37)^2\approx 7.22$