The slope 'm' of a line is given by : `m=sqrt(3)`. Find its inclination

Options

A. 0
B. 60
C. 30
D. 45

Answer

To find the inclination of a line given its slope \( m = \sqrt{3} \), we can follow these steps:

### Step-by-Step Solution

1. **Understand the Relationship**: The slope \( m \) of a line is related to its angle of inclination \( \theta \) by the formula:
\[ m = \tan(\theta) \]

2. **Substitute the Given Slope**: We know that \( m = \sqrt{3} \). Therefore, we can write:
\[ \tan(\theta) = \sqrt{3} \]

3. **Identify the Angle**: We need to find the angle \( \theta \) such that:
\[ \tan(\theta) = \sqrt{3} \]
From trigonometric values, we know that:
\[ \tan(60^\circ) = \sqrt{3} \]

4. **Conclude the Value of \( \theta \)**: Since \( \tan(60^\circ) = \sqrt{3} \), we can conclude that:
\[ \theta = 60^\circ \]

### Final Answer
The inclination of the line is \( 60^\circ \).

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