Question

Please show the solving

Answer 1

Step-by-step explanation:

YELLOW TRIANGLE:

$\sin(30) = \frac{x}{12} \\ x = 12 \sin(30) = 6$

PURPLE TRIANGLE:

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

To prove:

$\tan(45) = \frac{bc}{x} \\ bc = x \tan(45) = 6 \tan(45) = 6$

PINK TRIANGLE:

$\tan(60) = \frac{bc}{y} \\ y = \frac{bc}{ \tan(60) } \\ = \frac{6}{ \tan(60) } \\ = 2 \sqrt{3}$