e inclination ( \( \theta \) ) with the positive direction of the x-axis is \( 50^{\circ} \), to the nearest two decimal places :

To find the inclination \( \theta \) of a line with respect to the positive direction of the x-axis, you can use the tangent function if you have the slope \( m \) of the line. The inclination angle can be calculated using the formula: \[ \theta = \tan^{-1}(m) \] If you already know that the inclination is \( 50^\circ \), then there is no further calculation needed. However, if you need to express this angle in radians or find the slope corresponding to this angle, you can do the following: 1. **Convert degrees to radians** (if needed): \[ \theta \text{ (in radians)} = \theta \text{ (in degrees)} \times \frac{\pi}{180} \] \[ \theta = 50^\circ \times \frac{\pi}{180} \approx 0.8727 \text{ radians} \] 2. **Find the slope \( m \)**: \[ m = \tan(50^\circ) \approx 1.1918 \] If you need the inclination to the nearest two decimal places, it is already given as \( 50.00^\circ \). If you need the slope to two decimal places, it would be approximately \( 1.19 \). Please clarify if you need any specific calculations or further information!