Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Para convertir los ángulos de grados, minutos y segundos (DMS) a grados decimales, usamos la siguiente fórmula:
[tex]\[ \text{Grados decimales} = \text{Grados} + \left( \frac{\text{Minutos}}{60} \right) + \left( \frac{\text{Segundos}}{3600} \right) \][/tex]
Vamos a convertir cada uno de los ángulos proporcionados paso a paso:
### a) \(22^{\circ} 37^{\prime} 11^{\prime \prime}\)
[tex]\[ Grados \, decimales = 22 + \left( \frac{37}{60} \right) + \left( \frac{11}{3600} \right)\\ Grados \, decimales = 22 + 0.6166667 + 0.0030556\\ Grados \, decimales = 22.6197222 \][/tex]
### c) \(22^{\circ} 67^{\prime} 48^{\prime \prime}\)
Considerando que \(67^{\prime} = 1^{\circ} \) y \( 7^{\prime} \) (\(1^{\circ} = 60^{\prime}\)):
[tex]\[ Grados \, decimales = 22 + 1 + \left( \frac{7}{60} \right) + \left( \frac{48}{3600} \right)\\ Grados \, decimales = 22 + 1 + 0.1166667 + 0.0133333\\ Grados \, decimales = 23.13 \][/tex]
### e) \(11^{\circ} 22^{\prime} 48^{\prime \prime}\)
[tex]\[ Grados \, decimales = 11 + \left( \frac{22}{60} \right) + \left( \frac{48}{3600} \right)\\ Grados \, decimales = 11 + 0.3666667 + 0.0133333\\ Grados \, decimales = 11.38 \][/tex]
### b) \(67^{\circ} 22^{\prime} 48^{\prime \prime}\)
[tex]\[ Grados \, decimales = 67 + \left( \frac{22}{60} \right) + \left( \frac{48}{3600} \right)\\ Grados \, decimales = 67 + 0.3666667 + 0.0133333\\ Grados \, decimales = 67.38 \][/tex]
### d) \(37^{\circ} 22^{\prime} 11^{\prime \prime}\)
[tex]\[ Grados \, decimales = 37 + \left( \frac{22}{60} \right) + \left( \frac{11}{3600} \right)\\ Grados \, decimales = 37 + 0.3666667 + 0.0030556\\ Grados \, decimales = 37.3697222 \][/tex]
### Resumen:
Después de convertir todos los ángulos a formato decimal, obtenemos los siguientes resultados:
1. \( 22^{\circ} 37^{\prime} 11^{\prime \prime} \rightarrow 22.6197222 \)
2. \( 22^{\circ} 67^{\prime} 48^{\prime \prime} \rightarrow 23.13 \)
3. \( 11^{\circ} 22^{\prime} 48^{\prime \prime} \rightarrow 11.38 \)
4. \( 67^{\circ} 22^{\prime} 48^{\prime \prime} \rightarrow 67.38 \)
5. \( 37^{\circ} 22^{\prime} 11^{\prime \prime} \rightarrow 37.3697222 \)
Por lo tanto, los ángulos convertidos a grados decimales son:
[tex]\[ [22.6197222, 23.13, 11.38, 67.38, 37.3697222] \][/tex]
[tex]\[ \text{Grados decimales} = \text{Grados} + \left( \frac{\text{Minutos}}{60} \right) + \left( \frac{\text{Segundos}}{3600} \right) \][/tex]
Vamos a convertir cada uno de los ángulos proporcionados paso a paso:
### a) \(22^{\circ} 37^{\prime} 11^{\prime \prime}\)
[tex]\[ Grados \, decimales = 22 + \left( \frac{37}{60} \right) + \left( \frac{11}{3600} \right)\\ Grados \, decimales = 22 + 0.6166667 + 0.0030556\\ Grados \, decimales = 22.6197222 \][/tex]
### c) \(22^{\circ} 67^{\prime} 48^{\prime \prime}\)
Considerando que \(67^{\prime} = 1^{\circ} \) y \( 7^{\prime} \) (\(1^{\circ} = 60^{\prime}\)):
[tex]\[ Grados \, decimales = 22 + 1 + \left( \frac{7}{60} \right) + \left( \frac{48}{3600} \right)\\ Grados \, decimales = 22 + 1 + 0.1166667 + 0.0133333\\ Grados \, decimales = 23.13 \][/tex]
### e) \(11^{\circ} 22^{\prime} 48^{\prime \prime}\)
[tex]\[ Grados \, decimales = 11 + \left( \frac{22}{60} \right) + \left( \frac{48}{3600} \right)\\ Grados \, decimales = 11 + 0.3666667 + 0.0133333\\ Grados \, decimales = 11.38 \][/tex]
### b) \(67^{\circ} 22^{\prime} 48^{\prime \prime}\)
[tex]\[ Grados \, decimales = 67 + \left( \frac{22}{60} \right) + \left( \frac{48}{3600} \right)\\ Grados \, decimales = 67 + 0.3666667 + 0.0133333\\ Grados \, decimales = 67.38 \][/tex]
### d) \(37^{\circ} 22^{\prime} 11^{\prime \prime}\)
[tex]\[ Grados \, decimales = 37 + \left( \frac{22}{60} \right) + \left( \frac{11}{3600} \right)\\ Grados \, decimales = 37 + 0.3666667 + 0.0030556\\ Grados \, decimales = 37.3697222 \][/tex]
### Resumen:
Después de convertir todos los ángulos a formato decimal, obtenemos los siguientes resultados:
1. \( 22^{\circ} 37^{\prime} 11^{\prime \prime} \rightarrow 22.6197222 \)
2. \( 22^{\circ} 67^{\prime} 48^{\prime \prime} \rightarrow 23.13 \)
3. \( 11^{\circ} 22^{\prime} 48^{\prime \prime} \rightarrow 11.38 \)
4. \( 67^{\circ} 22^{\prime} 48^{\prime \prime} \rightarrow 67.38 \)
5. \( 37^{\circ} 22^{\prime} 11^{\prime \prime} \rightarrow 37.3697222 \)
Por lo tanto, los ángulos convertidos a grados decimales son:
[tex]\[ [22.6197222, 23.13, 11.38, 67.38, 37.3697222] \][/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.