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Sagot :
Answer:
x = 55° (nearest degree)
Step-by-step explanation:
Trig ratios:
[tex]sin(\theta)=\dfrac{O}{H} \ \ \ cos(\theta)=\dfrac{A}{H} \ \ \ tan(\theta)=\dfrac{O}{A} \ \ \[/tex]
where [tex]\theta[/tex] 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:
- [tex]\theta=x[/tex]
- A = 3.3
- H = 5.7
[tex]\implies cos(x)=\dfrac{3.3}{5.7}[/tex]
[tex]\implies x=\arccos \dfrac{3.3}{5.7}=54.623459...[/tex]
⇒ x = 55° (nearest degree)
Answer:
54.6° OR 55° rounded up.
Step-by-step 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
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