## Thinking Mathematically (6th Edition)

$a \approx 37\text{ in}$
RECALL: In a right triangle, $\sin{A} = \dfrac{\text{length of opposite side}}{\text{length of hypotenuse}}$ $\cos{A} = \dfrac{\text{length of adjacent side}}{\text{length of hypotenuse}}$ $\tan{A} = \dfrac{\text{length of opposite side}}{\text{length of adjacent side}}$ Use the sine formula above to obtain: $\sin{48^o} = \dfrac{a}{50}$ Multiply 50 on both sides of the equation to obtain: $50 \cdot \sin{48^o} = a$ Use a scientific calculator to obtain: $50 \cdot 0.7431448255 = a \\37.15724127 = a \\a \approx 37\text{ in}$