## Algebra and Trigonometry 10th Edition

To solve for the elevation, we need to set up a proportion: The first equation will be for the small triangle: tan($9^{o}$) = $\frac{y}{x}$ where y is the elevation of the mountain and x is the distance from the mountain to the first point. The second equation will be for the larger triangle: tan($3.5^{o}$) = $\frac{y}{13 + x}$ Solving the system of equations: x = 8.17 miles y = 1.295 miles Therefore, the height of the mountain is 1.295 miles.