Question

PLEASE HELP DUE IN 40 MINS!! Using the Law of Sines, find the exact answer for x.

45°
X
30°
12

Answer 1

Explanation:

Sin(30) / X = Sin(45) / 12

use algebra to isolate X

1 / X = [ Sin(45) / 12 ] / Sin(30)

flip both sides

X = Sin(30) / [Sin(45) /12 ]

invert the denominator on the right side

X = Sin(30) * 12/ Sin(45)

Do you know what Sin(30) is off the top of your head?

and also Sin(45) ?

these are worth remembering... and you can b/c they are just

sin(0) = 0/2

sin(30) = 1 / 2

sin(45) =
`√(2)`/2

sin(60)=
`√(3)` / 2

sin(90) =
`√(4)` / 2 (aka 1)

note the numerators just counts up 0, 1, 2, 3, 4 :)

Cos works the same way but counts from 90° back to 0 but exactly like sin other wise, hence why Cos and Sin both =
`√(2)`/2 at 45 °

anyway

X = 1 / 2 * 12/
`√(2)`/2

X = 3
`√(2)`

A=3

B= 2

:) nice , huh