John went 90 m in the East to look for his father, and then he turned right and went 20 m. After this he turned right and after going 30 m he reached to his uncle's house. His father was not there. From there he went 100 m to his north and met his father. How far did he meet his father from the starting point?

Sure, let's solve the problem step by step.

1. John went 90 m in the East to look for his father.
2. Then he turned right and went 20 m.
3. After this, he turned right again and went 30 m.
4. He reached his uncle's house after going 30 m.
5. However, his father was not there.
6. From his uncle's house, John went 100 m to his north.
7. Finally, he met his father.

To find out how far John met his father from the starting point, we need to analyze the directions and distances traveled.

1. John went 90 m in the East.
2. Then he turned right and went 20 m.
3. After this, he turned right again and went 30 m.
4. From his uncle's house, he went 100 m to his north.

To calculate the distance from the starting point to where John met his father, we need to find the resultant displacement. We can use the Pythagorean theorem to calculate this.

Let's break down the displacements:

• East: 90 m
• Right: 20 m
• Right: 30 m
• North: 100 m

Using the Pythagorean theorem, we can calculate the resultant displacement:

Resultant displacement = √(90^2 + (20+30)^2 + 100^2)

Simplifying the equation:

Resultant displacement = √(8100 + 2500 + 10000) Resultant displacement = √(20500) Resultant displacement ≈ 143.02 m

Therefore, John met his father approximately 143.02 m from the starting point.