Question

Please show the solving

Answer 1

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)`