SOLUTION: find the area of a rectangle if the length of the side opposite 30 degrees is 7ft.

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Question 806558: find the area of a rectangle if the length of the side opposite 30 degrees is 7ft.
Answer by thejackal(72) About Me  (Show Source):
You can put this solution on YOUR website!
To answer this remember that Positive angles are measured counterclockwise
, and negative angles are measured clockwise. So what you have from the question is a right angled triangle with an angle of 30 degrees and an opposite side of 7 ft. This is a trigonometry problem mostly.
The adjacent side of the angle which incidentally is the length of the rectangle can be calculated as follows
Tan theta = Opposite side/Adjacent side
therefore Tan 30 = 7/Adjacent side
thus the Adjacent side = 7/Tan 30 = 7 root(3) ;this is the exact value
there fore the area of the rectangle is 7 root (3) * 7 = 49 root(3) sq.ft