Question
A kite is flying at a height of 25 meters, the length of the string that holds the kite is 50 meters. What is the angle of inclination of the comet with respect to the horizontal ground?
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Answer to a math question A kite is flying at a height of 25 meters, the length of the string that holds the kite is 50 meters. What is the angle of inclination of the comet with respect to the horizontal ground?
Velda
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Para encontrar el ángulo de inclinación de la cometa con respecto al suelo horizontal podemos utilizar la trigonometría. Específicamente, usaremos la función seno, que relaciona el lado opuesto (la altura de la cometa) con la hipotenusa (la longitud de la cuerda).
Dado:
Altura de la cometa, h=25m
Longitud de la cuerda, s=50m
Requerido:
Ángulo de inclinación \theta
Fórmula:
\sin\theta=\frac{opp}{hyp}=\frac{h}{s}
Solución:
\sin\theta=\frac{h}{s}=\frac{25m}{50m}=\frac{1}{2}
Resuelve el ángulo \theta
\theta=\sin^{-1}\left(\frac{1}{2}\right)=30\grado
El ángulo de inclinación es de 30 grados.
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