Which of the following figure represents the force of `10 N` in a direction of `30^(@)` east of north?

Options

A.
B.
C.
D.

Explanation

To determine which figure represents a force of 10 N acting at an angle of 30 degrees east of north, we can follow these steps:

### Step 1: Understand the Direction
- The force is acting at an angle of 30 degrees east of north. This means that if we draw a line pointing directly north (0 degrees), we will measure 30 degrees towards the east from that line.

### Step 2: Visualize the Angle
- To visualize this, imagine a coordinate system where:
- The upward direction represents north (0 degrees).
- The right direction represents east (90 degrees).
- The angle of 30 degrees east of north will be between the north line and the line representing the force.

### Step 3: Draw the Force Vector
- From the north direction, draw a line that makes a 30-degree angle towards the east. This line will represent the force vector of 10 N.

### Step 4: Analyze the Options
- Now, we need to look at the provided figures and identify which one has a force vector that points in the direction we just described (30 degrees east of north).
- Check each option:
- If the vector points towards northeast and the angle is measured from the north axis, it is likely the correct option.
- If the vector points towards east or south, or if the angle is measured from the east axis, it is incorrect.

### Step 5: Identify the Correct Option
- After analyzing the options:
- Option 1 points in the direction of northeast and is measured correctly from the north axis, making it the correct representation of the force.
- Options 2, 3, and 4 do not match the required direction.

### Conclusion
- The correct figure representing the force of 10 N in the direction of 30 degrees east of north is **Option 1**.

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