Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .
<u>Step-by-step explanation:</u>
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 ,
⇒
⇒
⇒
⇒
⇒
y direction (North )
We know that ,
⇒
⇒
⇒
⇒
Therefore , Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .