Draw 150° in standard position. Then find a if the point (a, 1) is on the terminal side of 150°.

Question

mathmale · Answer

Which quadrant would point (a,1) occupy?
In that quadrant, which sign does the "adjacent side" have, positive or negative?
Have you drawn a ray representing 150 degrees in std. position?  Have you marked the point on your drawing?

liziekay · Answer

Would the point be the vertex? I believe the quadrant would be the second one since it's over 90 degrees.

mathmale · Answer

Yes, your ray would be correctly placed if drawn in Quadrant 2.   What do you mean by "vertex" in this case?  I'd say the ray has an arrow tip, and that the point (a,1) lies at that tip.  Please draw this situation.  Use the Draw utility, below.  Now draw a horiz. line   thru that point, and also draw a vert. line.  What are the x-and y-coordinates of that point?

mathmale · Answer

Your x-coordinate is the point a.  What is the numerical value of a?

liziekay · Answer

Would it be -1 in this case?

liziekay · Answer

Since it's in quadrant 2 of the graph..

liziekay · Answer

|dw:1471490316355:dw|

liziekay · Answer

Hellllooo

thesmartone · Answer

|dw:1471493602175:dw|

now let's extract our triangle

|dw:1471493652464:dw|

and we're solving for a