Question

HELP, PLEASE I NEED IT! π∆π

Applying the 30-60-90 Theorem, Solve this.​

Answer 1

Explanation:

take 30 degree as reference angle

using sin rule

sin 30=opposite/hypotenuse

1/2=12/y(do cross multiplication?

12*2=y

24=y

for x

using pythagoras theorem

H^2=P^2+B^2

24^2=12^2+B^2

576=144+B^2

576-144=B^2

432=B^2

`√(432)`=B

12
`√(3)`=B

12
`√(3)`=X1

Answer 2

'y' would be 24

'x' would be 12
`√(3)`

Explanation:

the ratio of sides in a 30-60-90 triangle is, respectively, 1 :
`√(3)` : 2

so the side across from the 60 degree angle is
`√(3)` times the side of the 30°

the side across from the 90 degree angle is double the side of the 30°

so in this problem 'y' would be 24 and 'x' would be 12
`√(3)`