# Chapter 13, Trigonometric Ratios and Functions - 13.3 Evaluate Trigonometric Functions of Any Angle - 13.4 Exercises - Problem Solving - Page 879: 38a

$44.83^{\circ}$

#### Work Step by Step

We have the ratio of $\dfrac{\sin \theta_1 }{\sin \theta_2 }=1.333$ Now, $\dfrac{\sin 70^{\circ} }{\sin \theta_2 }=1.333$ Re-write as: $\theta_2 = \sin^{-1} [ \dfrac{\sin 70^{\circ} }{1.333}]$ This implies that $\theta_2 \approx 44.83^{\circ}$

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