Question #33730

A man is travelling in a straight field.After 10m he makes a 60 degree turn to his left.After 8 such turns what will be his total displacement?

Expert's answer

After6 turns the man makes 6 * 60 = 360 degrees so he returns to his initial

position.

In the last 2 turns he travels 10m + 10m. We get isosceles triangle with 2

sides 10m and the angle between them 60 degree.

But isosceles triangle with angle 60 degree is equilateral so the third side

(equals the total displacement) is 10m.

The total displacement is 10m.

position.

In the last 2 turns he travels 10m + 10m. We get isosceles triangle with 2

sides 10m and the angle between them 60 degree.

But isosceles triangle with angle 60 degree is equilateral so the third side

(equals the total displacement) is 10m.

The total displacement is 10m.

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