Question

Find the value of x. Round to the nearest tenth.

Answer 1

`\huge\boxed{x=14.2}`

Explanation:

Use a cosine:

`cosine=(adjacent)/(hypotenuse)`

We have:

`adjacent=12\\hupotenuse=x\\measure\ of\ angle=32^o`

Look at the picture or use the calculator.

`\cos32^o=0.8480`

Substitute:

`0.848=(12)/(x)\\\\(0.848)/(1)=(12)/(x)`

cross multiple

`0.848x=12`

divide both sides by 0.848

`x=(12)/(0.848)\\\\x=14.2`

Answer 2

`cos\Theta =(adj)/(hyp)`

`cos 32=(12)/(x)`

`x=12/cos32`

`=14.2`

`OAmalOHopeO`