Find the inclination of the line whose slope is:
2.9042 

Answer

To find the inclination of the line whose slope is 2.9042, we can follow these steps:

### Step 1: Understand the relationship between slope and inclination
The slope (m) of a line is related to the angle of inclination (θ) by the formula:
\[ m = \tan(\theta) \]
where \( m \) is the slope and \( \theta \) is the angle of inclination from the horizontal.

### Step 2: Set up the equation
Given that the slope \( m = 2.9042 \), we can write:
\[ \tan(\theta) = 2.9042 \]

### Step 3: Use the inverse tangent function
To find the angle \( \theta \), we take the inverse tangent (also known as arctan) of both sides:
\[ \theta = \tan^{-1}(2.9042) \]

### Step 4: Calculate the angle
Using a calculator, we find:
\[ \theta \approx 71^\circ \]

### Conclusion
Therefore, the inclination of the line is:
\[ \theta = 71^\circ \]

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