Question

Find x. Round your answer to the nearest tenth of a degree.

Answer 1

Answer:

42°

Step-by-step explanation:

8 is the opposite

12 is the hypotenuse

We know from SOHCAHTOA to use sine

Since we are looking for the angle, we use sin^-1

sin^-1(opposite/hypotenuse)=x

sin^-1(8/12)=x

Input into calculator

x=42°

Answer 2

Step-by-step explanation:

we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the the side and related angle are always opposite to each other.

so,

12/sin(90) = 8/sin(x)

12/1 = 8/sin(x)

12 = 8/sin(x)

3 = 2/sin(x)

sin(x) = 2/3

x = 41.8103149...° ≈ 41.8°