[br][b]44[br]Vista desde un satélite[/b] Las figuras indican que mientras más alta sea la[br]órbita de un satélite, más se puede “ver” de la Tierra desde el satélite. Sean [math]\theta[/math] s y h como se muestra en la figura, y suponga que la Tierra es una esfera con radio de 3 960 millas. 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[/img][br]comprendemos el problema y cómo podemos ver se trata sobre triángulos y sus ángulos y para ellos debemos utilizar las razones trigonométricas para encontrar los valores que nos pide cada literal.[br]Como datos tenemos:[br]r= 3960 millas (CA) [br]sí aplicamos una función trigonométrica debemos reemplazar los valores que tenemos.[br]sí nos pide despejar alguna variable debemos identificar los catetos para poder realizar el despeje.[br][br][b]a) [/b][b]Exprese el ángulo [math]\theta[/math] como[/b][b] función de h.[/b][br][br][math]cos\theta=\frac{CA}{h}[/math][br][math]cos\theta=\frac{r}{h}[/math][br][math]cos\theta=\frac{r}{r+h}[/math][br][math]cos\theta=\frac{3960}{3960+h}[/math] despejamos [math]\theta[/math][br][math]cos^{-1}cos\theta=cos^{-1}\frac{3960}{3960+h}[/math][br][math]\theta=cos^{-1}\frac{3960}{3960+h}[/math][br][br][b]b) [/b][b]Exprese la distancia s como función de [math]\theta[/math]. [/b][br][math]2\theta=\frac{s}{r}[/math][br][math]s=2r\theta[/math][br]recordemos que r= 3960[br]entonces [br][math]s=2\left(3960\right)\theta[/math][br][b]c) [br][/b][b]Exprese la distancia s como función de h. [Sugerencia: encuentre la composición de las[br]funciones de los incisos a) y b).][/b][br][math]insisoa:\theta=cos^{-1}\frac{3960}{3960+h}[/math][br][math]insisob=7920\theta[/math][br]vamos a encontrar la composición de las funciones.[br][math]s=7920cos^{-1}\frac{3960}{3960+h}[/math][br][br][b]d) [/b][b]Si el satélite está a 100 millas sobre la Tierra, ¿cuál es la distancia s a la que se puede ver? [/b][br][math]s=7920cos^{-1}\frac{3960}{3960+h}[/math][br]reemplazamos la distancia que nos pide 100 millas.[br][math]s=7920cos^{-1}\frac{3960}{3960+100}=7920cos^{-1}\frac{3960}{4060}=1762.3millas[/math][br][b]e) [/b][b]¿A qué altura debe estar el satélite para que se vean Los Ángeles y Nueva York, que están a 2 450 millas entre sí? [/b][br][math]h=R\cdot sec\binom{d}{2\cdot R}-1[/math][br][math]h\left(2450\right)=3960\cdot sen\binom{2450}{2\cdot3960}-1=197.3[/math][br]