Questions: A surfer is riding a 7-foot wave. The angle of depression from the surfer to the shoreline is 10°. What is the horizontal distance from the surfer to the shoreline? Round your answer to the nearest tenth.

To find the horizontal distance from the surfer to the shoreline, we can use trigonometry. The horizontal distance is the adjacent side of the right triangle formed by the surfer, the shoreline, and the line of sight. We can use the tangent function to calculate this distance.

Se nos da que la altura de la ola es \(7\) pies y el ángulo de depresión es \(10^{\circ}\).

Utilizando la tangente del ángulo de depresión, podemos encontrar la distancia horizontal desde el surfista hasta la costa: \[ \text{Distancia horizontal} = \frac{\text{Altura de la ola}}{\tan(\text{Ángulo de depresión})} \]

Sustituyendo los valores dados: \[ \text{Distancia horizontal} = \frac{7}{\tan(10^{\circ})} \approx \frac{7}{0.1763} \approx 39.69 \]

\[ \boxed{39.7} \]