Gibbs Love
06/27/2023 · Senior High School

c. A cierta hora del dia, un árbol de 14 metros \( (\mathrm{m}) \) de altura proyecta una sombra de 18 metros (m), como se ve en la figura. Si se supone que el árbol es totalmente vertical, entonces forma con el suelo un ángulo de \( 90^{\circ} \). Luego, la distancia entre la copa del árbol y su sombra en el suelo sería la hipotenusa del triángulo rectángulo que se forma. Calcular la diagonal x, aplicando el teorema de Pitágoras.

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Para calcular la distancia \( x \) entre la copa del árbol y su sombra, usamos el teorema de Pitágoras. La altura del árbol (14 m) y la longitud de la sombra (18 m) son los catetos. Aplicando el teorema, \( x^2 = 14^2 + 18^2 = 520 \), y \( x = \sqrt{520} \approx 22.8 \, \mathrm{m} \).

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