Question

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

Answer 1

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 $\frac{cos(28)}{1} =\frac{11}{x}$

So firstly, cross-multiply. $cos(28)*x=11$

Next, divide both sides by cos(28), and your answer will be $x=12.5$

Answer 2

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=$\frac{side-adjacent}{Hypotenuse}$

Cosine 28º= $\frac{11}{x}$

x=$\frac{11}{cosine 28}$

x= $\frac{11}{.8829}$=12.45

x=12.5