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3 problems match “angle of inclination”. Clear

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1. Parameter for a vertical line ●○○○○ 10 ptsGiven points $A(1+a,\,2a)$ and $B(1-a,\,3)$, the angle of inclination of line $AB$ is $90^\circ$. Find $a$.
2. Sun's angle at latitude 42° ●○○○○ 10 ptsA building is located at latitude $42^\circ$. Using $$\text{Angle of sun} = 90^\circ - \text{latitude} + (-23.5^\circ)\cdot\cos\left[(N+10)\cdot\frac{360^\circ}{365}\right],$$ where $N$ is the day of the year, find the angle of inclination of the sun on March 10th, the 69th day of the year. Round to two decimal places.
3. Inclination angle from a direction vector ●○○○○ 10 ptsThe direction vector of the line $l$ has coordinates $(2, 2\sqrt{3})$. Find the inclination angle of the line $l$ in degrees, where the angle lies in $[0^\circ, 180^\circ)$.