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?
117
likes585 views
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
4.5110 Answers
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.
Frequently asked questions (FAQs)
What is the average number of hours per week spent on social media by a group of students?
+
Math question: What is the 4th order derivative of f(x) = 3x^5 + 2x^3 - 4x + 1?
+
What is the average speed (in m/s) of a car that travels 1000 meters in 20 seconds?
+
New questions in Mathematics