Find the value of x, rounded to the nearest tenth. Answers : a.)12.5 b.)9.7 c.) 10.0 d.) 13.0

Remember "SOH CAH TOA"
Sine = (Opposite/Hypotenuse)
Cosine = (Adjacent/Hypotenuse)
Tangent = (Opposite/Adjacent)
In this case, we will be using cosine, and our equation will be [tex] \frac{cos(28)}{1} =\frac{11}{x} [/tex]
So firstly, cross-multiply. [tex] cos(28)*x=11 [/tex]
Next, divide both sides by cos(28), and your answer will be [tex] x=12.5 [/tex]
Answer:
a.)12.5
Step-by-step explanation:
You have a triangle with a 90º angle, you can apply the laws of the triangles on the triangle, and the chosen would be cosine.
Cosine=[tex]\frac{side-adjacent}{Hypotenuse}[/tex]
Cosine 28º= [tex]\frac{11}{x}[/tex]
x=[tex]\frac{11}{cosine 28}[/tex]
x= [tex]\frac{11}{.8829}[/tex]=12.45
x=12.5