Question

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

Answer 1

Answer:

$cos\Theta =\frac{adj}{hyp}$

$cos 32=\frac{12}{x}$

$x=12/cos32$

$=14.2$

$OAmalOHopeO$

Answer 2

Answer:

$\huge\boxed{x=14.2}$

Step-by-step explanation:

Use a cosine:

$cosine=\dfrac{adjacent}{hypotenuse}$

We have:

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

Look at the picture or use the calculator.

$\cos32^o=0.8480$

Substitute:

$0.848=\dfrac{12}{x}\\\\\dfrac{0.848}{1}=\dfrac{12}{x}$

cross multiple

$0.848x=12$

divide both sides by 0.848

$x=\dfrac{12}{0.848}\\\\x=14.2$