Question

Find the value of x.
please help me!!!!!!!!

Answer 1

54.6° OR 55° rounded up.

Explanation:

So it is a fact that 3.3 is adjacent to x. And 5.7 is the hypotenuse.

Now, let's think of SOHCAHTOA: *Always remember that*

SOH: Sin = Opp/Hyp

CAH: Cos = Adj/Hyp

TOA: Tan = Opp/Adj

We will be using CAH since we have the adjacent and the hypotenuse.

Now, you need to plug in the numbers to the correct placement, in this case, it will look like this:

Cos(x) = 3.3/5.7

*If I were you, I'd use a Cosine calculator online or just your handy-dandy standard calculator because you can't just plug in 3.3/5.7 like that and expect to get the answer.*

*In order to find the cosine on a regular calculator, you must press the inverse button, followed by the cos button. Or just use the "arccos" button if it's on there*

REMEMBER SOHCAHTOA FOR THE FUTURE

Answer 2

x = 55° (nearest degree)

Explanation:

Trig ratios:

`sin(\theta)=(O)/(H) \ \ \ cos(\theta)=(A)/(H) \ \ \ tan(\theta)=(O)/(A) \ \ \`

where
`\theta` is the angle, O is the side opposite the angle, A is the side adjacent to the angle, and H is the hypotenuse of a right triangle

Given:

• 
  `\theta=x`
• A = 3.3
• H = 5.7

`\implies cos(x)=(3.3)/(5.7)`

`\implies x=\arccos (3.3)/(5.7)=54.623459...`

⇒ x = 55° (nearest degree)