Find the slope of the line whose inclination is:
`72^@, 30^@`

Answer

To find the slope of the lines whose inclinations are \(72^\circ\) and \(30^\circ\), we will use the formula for the slope \(m\) of a line, which is given by:

\[ m = \tan(\theta) \]

where \(\theta\) is the angle of inclination.

### Step 1: Calculate the slope for \(72^\circ\)

1. Use the formula \(m_1 = \tan(72^\circ)\).
2. Using a calculator or trigonometric tables, find \(\tan(72^\circ)\).

\[ m_1 = \tan(72^\circ) \approx 3.077 \]

### Step 2: Calculate the slope for \(30^\circ\)

1. Use the formula \(m_2 = \tan(30^\circ)\).
2. Again, using a calculator or trigonometric tables, find \(\tan(30^\circ)\).

\[ m_2 = \tan(30^\circ) = \frac{1}{\sqrt{3}} \approx 0.577 \]

### Final Answer

The slopes of the lines are:
- For \(72^\circ\): \(m_1 \approx 3.077\)
- For \(30^\circ\): \(m_2 \approx 0.577\)

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