Osborne Bright
07/17/2024 · Junior High School
Expresa \( 16^{\circ} 25^{\prime} 46^{\prime \prime} e \) grados
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Step-by-step Solution
Para expresar \( 16^{\circ} 25^{\prime} 46^{\prime \prime} \) en grados, primero necesitamos convertir los minutos y segundos a grados.
1 grado = 60 minutos
1 minuto = 60 segundos
Entonces, para convertir \( 25^{\prime} \) a grados, dividimos por 60:
\[ 25^{\prime} = \frac{25}{60} = 0.4167 \text{ grados} \]
Para convertir \( 46^{\prime \prime} \) a grados, dividimos por 3600:
\[ 46^{\prime \prime} = \frac{46}{3600} = 0.0128 \text{ grados} \]
Ahora, sumamos todos los valores:
\[ 16^{\circ} + 0.4167^{\circ} + 0.0128^{\circ} = 16.4295^{\circ} \]
Por lo tanto, \( 16^{\circ} 25^{\prime} 46^{\prime \prime} \) es igual a \( 16.4295^{\circ} \).
Quick Answer
Para expresar \( 16^{\circ} 25^{\prime} 46^{\prime \prime} \) en grados, convierte los minutos y segundos a grados y suma. El resultado es \( 16.4295^{\circ} \).
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