Question

Яхта на соревнованиях плыла по морю 11,7 км на юг, 15 км на восток и 3,7 км на север. Вычисли, на каком расстоянии от места старта находится яхта

Answer 1

Ответ:

Объяснение:

по т. Пифагора - √(15²+8²)=17 км.

Answer 2

Calculation of the Yacht's Distance from the Starting Point

To calculate the distance of the yacht from the starting point, we need to consider the different directions and distances it traveled. According to the information provided, the yacht sailed 11.7 km south, then 15 km east, and finally 3.7 km north.

To find the distance from the starting point, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we can consider the southward and northward distances as one side of the triangle, and the eastward distance as the other side. The distance from the starting point will be the hypotenuse.

Let's calculate the distance using the Pythagorean theorem:

1. Calculate the square of the southward and northward distances: (11.7 km)^2 + (3.7 km)^2 = 136.89 km^2 + 13.69 km^2 = 150.58 km^2. 2. Calculate the square of the eastward distance: (15 km)^2 = 225 km^2. 3. Add the squares of the distances: 150.58 km^2 + 225 km^2 = 375.58 km^2. 4. Take the square root of the sum to find the distance from the starting point: √(375.58 km^2) ≈ 19.37 km.

Therefore, the yacht is approximately 19.37 km away from the starting point