Question

The line to the right goes through the point (6, y). If the angle the graph makes with the x-axis is 22°, what is
the y-coordinate of the point to the nearest hundredth?

Answer 1

Answer:

The y-coordinate of the point is approximately 2.42.

Step-by-step explanation:

From the figure attached below the statement we derive the following equation to calculate the y-coordinate ($y$), dimensionless, of the point in terms of the x-coordinate ($x$), dimensionless, and angle of the line ($\theta$), measured in sexagesimal degrees:

$y = x\cdot \tan \theta$ (1)

If we know that $x = 6$ and $\theta = 22^{\circ}$, then the y-coordinate of the point is:

$y = 6\cdot \tan 22^{\circ}$

$y\approx 2.42$

The y-coordinate of the point is approximately 2.42.