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A Father went 60 m in the East to look for his son, then he turned right and went 40 m. After this he turned right and after going 30 m he reached to his brother's house. His son was not there. From there he went 80 m to his north and met his son. How far did he meet his son from the starting point?Group of answer choices

Question

A Father went 60 m in the East to look for his son, then he turned right and went 40 m. After this he turned right and after going 30 m he reached to his brother's house. His son was not there. From there he went 80 m to his north and met his son. How far did he meet his son from the starting point?Group of answer choices

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Solution

To solve this problem, we can break it down into steps:

  1. The father first goes 60m East.
  2. Then he turns right (which would be South in this context) and goes 40m.
  3. He turns right again (this time going West) and goes 30m. At this point, he is 30m West of the point 40m South of his starting point.
  4. Finally, he goes 80m North and finds his son. This would place him 40m North of his starting point (since he had initially gone 40m South) and 30m West of it.

To find the distance from his starting point, we can use the Pythagorean theorem, which states that in a right 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.

Here, the two sides are 30m (West) and 40m (North), and we're trying to find the hypotenuse (the straight-line distance from the starting point).

So, we calculate the square root of (30m^2 + 40m^2) = square root of (900m^2 + 1600m^2) = square root of 2500m^2 = 50m.

So, the father met his son 50m away from the starting point.

This problem has been solved

Similar Questions

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A boy was misdirected from his way while returning to his home from his school. In order to reach his home, he first moved 3 km in south direction and then turned to his left and moved 2 km in straight direction on the road leading to the east. From there, he moved to his left and walked 3 km. After this, he again turned to his left and moved 1 km. Finally he reached his home. The home of the boy was in which direction from his school?North

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