## Precalculus (6th Edition) Blitzer

$4002~miles$
The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$ $\sin 76.6^{\circ}= \dfrac{a}{a+112}$ This gives: $a =\dfrac{112 \times \sin 76.6^{\circ}}{1- \sin 76.6^{\circ}}$ or, $a=4002~miles$