Question

Решение задач а)На карте масштабом 1:2 700 000 растаяние между пунктами А и B равно 21см Найдите истинное расстояние между пунктами на поверхности Земли. б) Расстояние между пунктами А и B на поверхности Земли равно 1500км. сколько сантиметров составит это расстояние на карте масштабом 1:1 800 000ПОЖАЛУЙСТА ПОМОГИТЕ!!!СРОЧНО​

Answer 1

Ответ:

Пошаговое объяснение:

А)

х = истинное расстояние

21/х = 1/2700000

х = 21 * 2700000 / 1

х = 56700000/1

х = 56700000

56 700 000 см = 567 км

Ответ: 567 км

Б)

х = расстояние на карте

1500 км = 150000000 см

х/150000000 = 1/1800000

х = 150000000 * 1 / 1800000

х = 150000000/1800000

х = 83. 600000/1800000

х = 83. 1/3

Ответ: 83. 1/3 см

Answer 2

Problem Analysis

To solve both parts of the problem, we need to understand the concept of scale on a map. The scale of a map represents the ratio between distances on the map and the corresponding distances on the Earth's surface. In this case, we are given the scale of the map and the distance between two points on the map. We need to find the true distance between the points on the Earth's surface in part (a), and the distance on the map given the true distance on the Earth's surface in part (b).

Part (a) - Finding the True Distance on Earth's Surface

In part (a), we are given a map with a scale of 1:2,700,000 and the distance between points A and B on the map, which is 21 cm. We need to find the true distance between points A and B on the Earth's surface.

To find the true distance, we can use the formula:

True Distance = Map Distance / Scale

Substituting the given values, we have:

True Distance = 21 cm / 2,700,000

Calculating this, we find that the true distance between points A and B on the Earth's surface is approximately 0.00000778 km.

Part (b) - Finding the Distance on the Map

In part (b), we are given the distance between points A and B on the Earth's surface, which is 1500 km, and the scale of the map, which is 1:1,800,000. We need to find the distance between points A and B on the map.

To find the distance on the map, we can use the formula:

Map Distance = True Distance * Scale

Substituting the given values, we have:

Map Distance = 1500 km * 1,800,000

Calculating this, we find that the distance between points A and B on the map is approximately 2,700,000 cm.

Conclusion

To summarize, in part (a), the true distance between points A and B on the Earth's surface is approximately 0.00000778 km. In part (b), the distance between points A and B on the map is approximately 2,700,000 cm.

I hope this helps! Let me know if you have any further questions.