Solving an Angle with Trigonometry

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The angle in question is determined to be 30 degrees based on the relationship with a 45-degree angle. The user is calculating components using trigonometric functions, specifically questioning if 2cos30 equals Ay. There is confusion about how to derive the perpendicular component, leading to a suggestion that the tangent might be represented as 2sin30. Clarification and assistance with these trigonometric calculations are requested.
klm
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edit- nevermind i got it
okay what i figured so far is that the angle i am looking for is 30 degrees, b/c that bottom angle is 45, so the other angle total should be 45. and then i subtracted 15 and got 30. so i am thinking that the component that is suppose to be tangent would be 2cos30=Ay ...would that be correct?
and i have no idea how i am suppose to get the perpendicular one. any help would be greatly appreciated!

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so really the tangent would be 2sin30 ?
 

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