Question

Find x. Round to the nearest 10th

Answer 1

`\boxed{\bf x = 23.5}`

Explanation:

Using the law of sines.

`\bf \cfrac{ \sin(A) }{a} = \cfrac{ \sin(B) }{b}`

• A = 42
• B = x
• a = 22
• a = 12

`\bf \cfrac{ \sin(42) }{22} = \cfrac{ \sin(x) }{12}`

`\bf \cfrac{12}{22} \sin(42) = \sin(x)`

`\bf \sin(x) = 0.4`

`\bf x = 23.5`

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