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Coordinate geo question once again ! (1 Viewer)

Aysce

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Hey guys the question is :

Find the acute angle between the lines and
Originally I received the angle of 60 degrees, but in the answers it says 30 degrees.

Please check if my answer is right, if not please justify why thanks ! :awesome:
 

slyhunter

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It's 30.

Edit: read it as y=3 instead of x=3 >_>

Sorry OE :)
 
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Aysce

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Can someone work it out, because wouldn't the gradient of x =3 be 0? Full working pl0x
 

hscishard

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1.Sketch the situation
2.Actually sketch the situation
3.Check if you've drawn it correctly

gradient of x=3 is clearly undefined as rise is like infinity and run = 0.
However, if you sketched everything, you'll see that x=3 makes right angles with the x axis. Gradient of y=root3x = root3. angle between line and x axis = 60. 90-60 = 30

say it was y=3 instead, y=3 has a gradient of 0. Then the angle between the two lines will be just 60. In this case you could've used the tan expansion to find the angle
 

Aysce

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1.Sketch the situation
2.Actually sketch the situation
3.Check if you've drawn it correctly

gradient of x=3 is clearly undefined as rise is like infinity and run = 0.
However, if you sketched everything, you'll see that x=3 makes right angles with the x axis. Gradient of y=root3x = root3. angle between line and x axis = 60. 90-60 = 30

say it was y=3 instead, y=3 has a gradient of 0. Then the angle between the two lines will be just 60. In this case you could've used the tan expansion to find the angle
Thanks a lot! I understand now :)
 

Drongoski

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Surprised this generated so much exchange - it's 30 deg indeed. The 1st line makes 60 deg with the positive x-axis and x=2 makes 90 deg.
 

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