00:01
In answering this question, let's consider a scenario where we've got two perpendicular lines and we have an upright rectangle, something like this, where we've got dimensions.
00:16
Right here we are looking at a right angle triangle, and here we've got dimensions d, and here we've got b over k, and right here we've got a over h, and this is an angle alpha.
00:30
So looking at this, our tan alpha is going to be equal to b over k divided by b over h.
00:38
And our sign alpha is d over a over h.
00:43
So we are looking at sine squared alpha.
00:49
This is going to be equal to tan squared alpha over 1 plus tan squared alpha.
00:56
And we are looking at 1 over d squared being equal to h squared over a squared plus k squared over b squared.
01:06
So if we are looking at this diagram right here, we've got our sign alpha being equal to d over a over h...