IB Mathematics Analysis and Approaches Question Type 2: Given an Equation of a Line, Finding the Angle of Elevation Exercises

Find the angle that the line perpendicular to $y=4x-7$ makes with the positive $x$-axis. Provide your answer in degrees.

Find the angle of elevation of the line $3x-4y+7=0$ in degrees.

Find the angle of inclination of the line $8x-15y+20=0$ in degrees.

Given the vector form of a line $(x,y)=(1,2)+t(-4,3)$, find the acute angle the line makes with the $x$-axis in degrees to the nearest minute.

Find the angle that the line $y=25x+9$ makes with the positive $x$-axis in degrees.

Find the angle of elevation of the line $y=\sqrt{3}x-5$, expressing your answer in radians.

Find the angle of inclination of the line $y=\tan (75^{\circ })x+1$ in degrees.

Find the acute angle between the line $y=-\frac{\sqrt{3}}{3}x+2$ and the $x$-axis. Express your answer in degrees.

Find the angle of inclination of the line $5y-12x+7=0$ in degrees.

The parametric equations of a line are $x=2+3t$, $y=5+4t$. Find its angle of elevation in degrees.

A line passes through the points $(2,3)$ and $(5,11)$. Find the angle of inclination of this line in degrees.

Determine the angle that the line $y=-3x+2$ makes with the positive $x$-axis. Express your answer to the nearest degree.