# Math Help - trig problem

1. ## trig problem

Hey guys I have a problem and I can't figure it out. I have to points on a plane. One point is (0,0), the other point is (x,y). When I join these points the length of the line is 90. This line is used to make a right angle triangle with both angles (non right angles) pi/4. How do I figure out the points (x,y) using SIMPLE trig? Any help is greatly appreciated. Cheers.

2. Originally Posted by trigprob
Hey guys I have a problem and I can't figure it out. I have to points on a plane. One point is (0,0), the other point is (x,y). When I join these points the length of the line is 90. This line is used to make a right angle triangle with both angles (non right angles) pi/4. How do I figure out the points (x,y) using SIMPLE trig? Any help is greatly appreciated. Cheers.
x is the length of the base, y is the height:

$\cos \frac{\pi}{4} = \frac{x}{90} \Rightarrow x = ....$

$\sin \frac{\pi}{4} = \frac{y}{90} \Rightarrow y = ....$

3. Thanks for the reply. I forgot to mention that I know the answer, I just didn't know how to get it. So the point is (63.63961,63.63961).