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 value of f(x) if f(x) is a constant function, f(x) = c, and c = 5?
+
What is the length of side B in a triangle, with side A measuring 8 units, angle C measuring 45 degrees, and angle B measuring 60 degrees?
+
Find the value of sin(45°) + cos(30°) - tan(60°), rounded to 3 decimal places.
+
New questions in Mathematics