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Please show the solving

Please show the solving-example-1

1 Answer

8 votes

Explanation:

YELLOW TRIANGLE:


\sin(30) = (x)/(12) \\ x = 12 \sin(30) = 6

PURPLE TRIANGLE:

Since one of the angle is 45°, x = BC = 6

To prove:


\tan(45) = (bc)/(x) \\ bc = x \tan(45) = 6 \tan(45) = 6

PINK TRIANGLE:


\tan(60) = (bc)/(y) \\ y = (bc)/( \tan(60) ) \\ = (6)/( \tan(60) ) \\ = 2 √(3)

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