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let s say that two contour lines are identified on a map one 850 meters and another 870 meters above sea level the distanc

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Let's say that two contour lines are identified on a map: one 850 meters and another 870 meters above sea level. The distance between these curves on the map is 12 centimeters, and the distance from point A to the 850-meter curve is 9 centimeters. What is the approximate height of point A?

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Answer to a math question Let's say that two contour lines are identified on a map: one 850 meters and another 870 meters above sea level. The distance between these curves on the map is 12 centimeters, and the distance from point A to the 850-meter curve is 9 centimeters. What is the approximate height of point A?

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1. Calcular la distancia total en el mapa entre las curvas:

\text{Distancia entre curvas en el mapa} = 12\, \text{cm}

2. Diferencia de altura entre las curvas:

\Delta h = 870\, \text{m} - 850\, \text{m} = 20\, \text{m}

3. Calcular la razón de elevación por centímetro:

\frac{20\, \text{m}}{12\, \text{cm}} = \frac{20}{12}\, \text{m/cm} = \frac{5}{3}\, \text{m/cm}

4. Calcular la altura del punto A:

\text{Distancia desde la curva de 850 m hasta el punto A} = 9\, \text{cm}

\text{Altura aproximada de A} = 850\, \text{m} + 9\, \text{cm} \times \frac{5}{3}\, \text{m/cm} = 850\, \text{m} + 15\, \text{m} = 865\, \text{m}

[Solution]865\,\text{m}

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