If I have a line that starts at the origin (0,0), and goes 13 meters at an angle of π/6 in the standard position (ie. 30° north of east) how far does it go in the y direction (north), and how far does it go in the x direction (east)? Give exact values.

Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .

Step-by-step explanation:

Here we have , If I have a line that starts at the origin (0,0), and goes 13 meters at an angle of π/6 in the standard position (i.e. 30° north of east) . We need yo find how far does it go in the y direction (north), and how far does it go in the x direction (east). Let's find out:

According to question we have a right angle triangle as :

x direction (east)

We know that ,

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y direction (North )

We know that ,

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Therefore , Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .

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