# Chapter 10 - Radical Expressions and Equations - 10-6 Trigonometric Ratios - Lesson Check - Page 637: 5

73.74$^{\circ}$

#### Work Step by Step

When we draw out this triangle, we label the two given legs and the angle opposite the longer leg. We know the side lengths opposite and adjacent to the unknown angle. This tells us that the trigonometric ratio of tangent will be used: $tan$ $\angle$$x$$=$$\frac{24}{7}. Since we are solving for an angle, we will use the inverse of tangent (tan^{-1}$$(24/7)$) to get 73.74$^{\circ}$.

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