On the unit circle, at 30 degrees the point is ( sqrt(3)/2 , 1/2 )
Cosine "represents" the x value (x, y)
Therefore:
cos(30) = sqrt(3) / 2
It is highly advisable for you to memorize the unit circle -- at least the quadrant I angles (0, 30, 45, 60, and 90). I'll include a link to a good unit circle reference in the related links.
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cosine(59 degrees) = 0.51504 (rounded)
cos(50) = 0.6428 (rounded)
The takeoff for a 30 degree angle will depend with the offset angle.
Yes and they are both acute angles
a 60-degree angle