Hey! I need help with this geometry problem

I

i.like.trains2828

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Be it the rectangular parallelipiped ABCDA’B’C’D’. AB = 15 cm, BC = 16 cm and AA’ = 34 cm. If the point O is center to ADD’A’ , find the angle between OC and plane ABCD. Thanks!image.jpg
 

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What methods have you learned that you might use? Do you know about vectors, or do you need to form a triangle and use trigonometry, or something else? Whatever method you have tried, what went wrong?

This is part of the reason we ask you to show work and context, so we can see what help you need, and what kind of help to offer.
 
I have not learned about vectors, but I know basic trigonometry. Perhaps a triangle method would be most easy to understand for me, I have tried one already but I can’t manage to find any other angle except the obvious ones (which are present in any rectangular parallelipiped).
 
i.like.trains2828 said:
I have not learned about vectors, but I know basic trigonometry. Perhaps a triangle method would be most easy to understand for me, I have tried one already but I can’t manage to find any other angle except the obvious ones (which are present in any rectangular parallelipiped).
Click to expand...
You need to construct a triangle which will contain the angle in question. Do you know how?
 
i.like.trains2828 said:
I have not learned about vectors, but I know basic trigonometry. Perhaps a triangle method would be most easy to understand for me, I have tried one already but I can’t manage to find any other angle except the obvious ones (which are present in any rectangular parallelipiped).
Click to expand...
The triangle you need will be perpendicular to the plane ABCD, passing through O and C; that's how we define the angle between a line and a plane. Try adding that to the drawing and show it to us.
 
You have the right triangle (pun intended). Now keep going. Can you find any sides in that triangle?
 
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