Find the slope of a line whose inclination is
`60^(@)`

Answer

To find the slope of a line whose inclination is \(60^\circ\), we can follow these steps:

### Step 1: Understand the relationship between inclination and slope
The slope \(m\) of a line can be calculated using the tangent of its inclination angle \(\theta\). This relationship is given by the formula:
\[ m = \tan(\theta) \]

### Step 2: Identify the given inclination
In this case, we are given that the inclination \(\theta\) is \(60^\circ\).

### Step 3: Substitute the inclination into the formula
Now we substitute \(\theta = 60^\circ\) into the slope formula:
\[ m = \tan(60^\circ) \]

### Step 4: Calculate the tangent of \(60^\circ\)
From trigonometric values, we know that:
\[ \tan(60^\circ) = \sqrt{3} \]

### Step 5: Write the final result
Thus, the slope \(m\) of the line is:
\[ m = \sqrt{3} \]

### Final Answer:
The slope of the line whose inclination is \(60^\circ\) is \(\sqrt{3}\).

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