PreCalculus
posted by Shreya on .
The angle θ is in the second quadrant and tan θ = 3/5. Point P is on the terminal arm of angle θ/ Which is a possible coordinate for P?
A) (5,√29)
B) (3,√29)
C) (10,6)
D) (6,10)
I drew the triangle, and aren't the coordinates supposed to be (5,3)? However the answer is C, I don't get it, can someone please explain?

tanØ = y/x
since tanØ = 3/5 and you are in II
then y = 3, and x = 5 , or in that ratio
now look at C) with point (10,6)
isn't tanØ = 6/10 = 3/5 ??
It said "possible point", other points could have been
(20,12), (200, 120) etc
(in your diagram, the end point in II should have been (5,3) , not (5,3) )