Question

Find x round to the nearest tenth

Answer 1

`x \approx 31.6\textdegree`

Explanation:

Apply the Law of Sines.

`(\sin(A))/(a) = (\sin(B))/(b)`

↓ plug in given side lengths and angle measures

`(\sin(74\textdegree))/(22) = (\sin(x))/(12)`

↓ multiply both sides by 12

`(12\sin(74\textdegree))/(22) = \sin(x)`

↓ take the inverse sine of both sides

`\sin^(-1)\left((6\sin(74\textdegree))/(11)\right) = x`

↓ evaluate using a calculator and round to tenths place

`x \approx 31.6\textdegree`