Reena walked from A to B in the East 10 feet. Then she turned to the right and walked 3 feet. Again she turned to the right and walked 14 feet. How far is she from A?

To solve this problem, we need to understand the directions and distances Reena walked.

1. Reena walked from A to B in the East 10 feet. This is our starting point.

2. Then she turned to the right and walked 3 feet. When you are facing East, turning to the right means you are now facing South. So she moved 3 feet to the South.

3. Again she turned to the right and walked 14 feet. Turning right from South means she is now facing West. She moved 14 feet to the West.

Now, we need to find out how far she is from point A.

If we draw this out, we can see that Reena has essentially moved in a rectangular path. She started moving East, then South, then West.

The distance she is from A is the difference between her initial 10 feet East and the 14 feet she walked West, because these two paths are in opposite directions.

So, we subtract 10 feet from 14 feet, which equals 4 feet.

Therefore, Reena is 4 feet away from point A.

First, let's visualize Reena's path. She starts at point A, walks 10 feet east to point B, turns right (which would be south if we're assuming standard cardinal directions) and walks 3 feet, then turns right again (which would be west) and walks 14 feet.

This forms a right-angled triangle where the 10 feet walk from A to B forms one side, the 3 feet walk forms the other side, and the 14 feet walk forms the hypotenuse.

However, since Reena walked 14 feet west after the 10 feet walk east, she is now 14 - 10 = 4 feet west of point B.

So, the distance from A is the straight line distance from B (which is 3 feet south of A) and her current position (which is 4 feet west of B). This forms another right-angled triangle.

We can use the Pythagorean theorem to find this distance, which states that the square of the hypotenuse (the distance we want to find) is equal to the sum of the squares of the other two sides.

So, the distance from A = sqrt((3^2) + (4^2)) = sqrt(9 + 16) = sqrt(25) = 5 feet.

So, Reena is 5 feet away from point A.

To solve this problem, we need to understand the directions and distances Reena has walked.

1. Reena started at point A and walked 10 feet to the East to point B.

2. She then turned right. Since she was walking towards the East, a right turn would now have her walking towards the South. She walked 3 feet in this direction.

3. She then turned right again. Now, she would be walking towards the West. She walked 14 feet in this direction.

Now, to find out how far she is from point A, we need to understand that she is now to the West of point A. The total distance she walked towards the West is 14 feet, but she had initially walked 10 feet to the East. So, the net distance towards the West from point A is 14 - 10 = 4 feet.

Also, she is 3 feet to the South of point A.

We can now use the Pythagorean theorem to find the total distance from point A. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as:

a² + b² = c²

where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.

In this case, a = 4 feet (the distance West of point A) and b = 3 feet (the distance South of point A). We want to find c (the total distance from point A).

So, we have:

4² + 3² = c² 16 + 9 = c² 25 = c²

Taking the square root of both sides gives:

c = √25 c = 5 feet

So, Reena is 5 feet away from point A.

To solve this problem, we need to understand the directions and distances Reena walked.

1. Reena walked from A to B in the East 10 feet. This is our starting point.

2. Then she turned to the right and walked 3 feet. When you are facing East, turning to the right means you are now facing South. So she moved 3 feet to the South.

3. Again she turned to the right and walked 14 feet. Now, turning right from South means facing West. So, she moved 14 feet to the West.

Now, we need to find out how far she is from point A. If we look at the path, we can see that she is 4 feet to the West from point A (since she walked 14 feet West after walking 10 feet East) and 3 feet to the South.

We can use the Pythagorean theorem to find the distance from point A. The theorem 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. This can be written as:

a² + b² = c²

Where: a and b are the lengths of the other two sides (4 feet and 3 feet in this case) c is the length of the hypotenuse (the distance from A we are trying to find)

So, we can calculate it as follows:

4² + 3² = c² 16 + 9 = c² 25 = c²

So, c = √25 = 5 feet.

Therefore, Reena is 5 feet away from point A.

First, let's visualize Reena's path. She starts at point A, walks 10 feet east to point B. Then she turns right (which would be south if we consider the standard directional system) and walks 3 feet. Then she turns right again (which would now be west) and walks 14 feet.

Now, she has walked 14 feet west from a point that was 10 feet east of A. So, she is 14 - 10 = 4 feet west of point A.

Since she also walked 3 feet south, we can consider this a right triangle where one side is 4 feet and the other is 3 feet.

We can use the Pythagorean theorem to find the distance from A. The theorem states that the square of the hypotenuse (the side opposite the right angle, or the distance we're trying to find) is equal to the sum of the squares of the other two sides.

So, the distance from A (d) is the square root of (4^2 + 3^2), which is the square root of (16 + 9), which is the square root of 25.

Therefore, Reena is 5 feet away from point A.