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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?

The line to the right goes through the point (6, y). If the angle the graph makes-example-1

1 Answer

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Answer:

The y-coordinate of the point is approximately 2.42.

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.

User Enlyte
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