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

likes
585 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?

Expert avatar
Velda
4.5
110 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)
Question: Find the absolute extrema of the function f(x) = x^3 - 6x^2 - 15x + 10 on the interval [-2, 4].
+
What is the derivative of f(x) = sin(2x) - cos(3x) + tan(4x) at x = π/6?
+
Question: The exponential function y = 2^(0.5x) models the growth of bacteria. Determine the value of y when x = 4.
+
New questions in Mathematics
5(4x+3)=75
(x^2+3x)/(x^2-9)=
How do you think the company has increased or decreased its income?
4.2x10^_6 convert to standard notation
1 plus 1
Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]
The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?
2x2 and how much?
During a fishing trip Alex notices that the height h of the tide (in metres) is given by h=1−(1/2)*cos(πt/6) where t is measued in hours from the start of the trip. (a) Enter the exact value of h at the start of the trip in the box below.
Exercise 1 An ejidal association wishes to determine the distribution for the three different crops that it can plant for the next season on its available 900 hectares. Information on the total available and how many resources are required for each hectare of cultivation is shown in the following tables: Total available resource Water 15,000 m3 Fertilizer 5,000 kg Labor 125 day laborers Requirements per cultivated hectare Corn Soybeans Wheat Water 15 25 20 Fertilizer 5 8 7 Labor** 1/8 1/5 1/4 *The data in fraction means that with one day laborer it will be possible to care for 8, 5 and 4 hectares respectively. * Sales of crops 1 and 3, according to information from the Department of Agriculture, are guaranteed and exceed the capacity of the cooperative. However, soybeans must be limited to a maximum of 150 hectares. On the other hand, the profits for each hectare of crop obtained are estimated at: $7,500 for corn, $8,500 for soybeans and $8,000 for wheat. The objectives are to determine: • How many hectares of each crop must be allocated so that the profit is maximum. R= • The estimated profits for the ejidal cooperative in the next growing season. R=
The simple average of 15 , 30 , 40 , and 45 is
What is 75 percent less than 60
The mass of 120 molecules of X2C4 is 9127.2 amu. Identify the unknown atom, X, by finding the atomic mass. The atomic mass of C is 12.01 amu/atom
A diamond ring was reduced from $999.99 to $689.99. Find the percent reduction in the price. Round the answer to the nearest tenth of a percent, if necessary.
We plan to test whether the mean mRNA expression level differs between two strains of yeast, for each of 8,000 genes. We will measure the expression levels of each gene, in n samples of strain 1 and m samples of strain 2. We plan to compute a P-value for each gene, using an unpaired two-sample t-test for each gene (the particular type of test does not matter). a) What are the null hypotheses in these tests (in words)? [2] b) If, in fact, the two strains are identical, how many of these tests do we expect to produce a P-value exceeding 1/4? [2]
Determine the kinetic energy of a baseball whose mass is 100 grams and has a speed of 30 m/s.
2 - 6x = -16x + 28
To paint a 250 m wall, a number of workers were employed. If the wall were 30 m longer, 9 more workers would be needed. How many were employed at the beginning?
calculate the product of 4 and 1/8
9n + 7(-8 + 4k) use k=2 and n=3