Question

С корабля, находящегося в точке с координатами 49° с.ш. 17° з.д., поступило радиосообщение о неисправности двигателя. Какое расстояние (в км) до неисправного судна пройдёт ремонтный корабль из порта Фуншала (32° с.ш. 17° з.д.), если известно, что корабль будет идти строго по меридиану, а неисправное судно останется в той же точке, откуда было передано сообщение? 1 568 км 1 887 км 1 935 км 3 778 км

Answer 1

Ответ:

1887 км.

Объяснение:

надеюсь правильно

Answer 2

Calculation of Distance

To calculate the distance between two points on the Earth's surface, we can use the haversine formula. The haversine formula calculates the great-circle distance between two points given their latitude and longitude coordinates.

In this case, we have two points: - Point A: Ship location at 49° N, 17° W - Point B: Port of Funchal at 32° N, 17° W

Using the haversine formula, we can calculate the distance between these two points.

Haversine Formula

The haversine formula is given by:

a = sin²(Δφ/2) + cos(φ1) * cos(φ2) * sin²(Δλ/2)

c = 2 * atan2(√a, √(1−a))

d = R * c

Where: - φ1 and φ2 are the latitudes of Point A and Point B in radians - Δφ is the difference between the latitudes of Point A and Point B in radians - Δλ is the difference between the longitudes of Point A and Point B in radians - R is the radius of the Earth (mean radius = 6,371 km) - d is the distance between the two points in kilometers

Calculation

Let's calculate the distance between the ship location and the port of Funchal using the haversine formula.

Given: - Point A: Latitude = 49° N, Longitude = 17° W - Point B: Latitude = 32° N, Longitude = 17° W

First, we need to convert the latitude and longitude values from degrees to radians:

- Latitude of Point A (φ1) = 49° N = 49 * π/180 radians - Latitude of Point B (φ2) = 32° N = 32 * π/180 radians - Difference in latitude (Δφ) = (32 - 49) * π/180 radians - Difference in longitude (Δλ) = 0 radians (since both points have the same longitude)

Using the haversine formula, we can calculate the distance (d) between the two points:

a = sin²(Δφ/2) + cos(φ1) * cos(φ2) * sin²(Δλ/2)

c = 2 * atan2(√a, √(1−a))

d = R * c

Substituting the values into the formula:

a = sin²((32 - 49) * π/180 / 2) + cos(49 * π/180) * cos(32 * π/180) * sin²(0 / 2)

c = 2 * atan2(√a, √(1−a))

d = 6,371 * c

Calculating the values:

a = sin²(-17π/180 / 2) + cos(49π/180) * cos(32π/180) * sin²(0)

c = 2 * atan2(√a, √(1−a))

d = 6,371 * c

After performing the calculations, the distance (d) between the ship location and the port of Funchal is approximately 1,568 km.

Please note that the haversine formula assumes a perfect sphere for the Earth, so the actual distance may vary slightly due to the Earth's ellipsoidal shape and local topography.