# Chapter 13 - Section 13.3 - Using Trigonometric Ratios to Find Sides - Exercise - Page 458: 6

$$a=52.7m$$ $$b=230.1m$$

#### Work Step by Step

To find side a, we can use the trigonometric ratio for sine. $sinA=\frac{a}{c}$ Where $A=12.9°$ $c=236m$ Solving for a we get: $a=c*sinA$ $a=236m*sin(12.9°)$ $a=236m*0.2233$ $a=52.7m$ To find side b, we can use the trigonometric ratio for cosine. $cosA=\frac{b}{c}$ Where $A=12.9°$ $c=236m$ Solving for b we get: $b=c*cosA$ $b=236m*cos(12.9°)$ $b=236m*0.9748$ $b=230.1m$

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