Question

For the right triangle below, find the length of x . Round to the hundredths. (2 decimal places)The adjacent side is x. The hypotenuse is 14. The right triangle is 34 degrees.

Answer 1

x = 11.61

Step-by-step explanation:

Using an illustration:

To get x, we will use trigonometry ratio SOHCAHTOA

Since we know the hypotenuse and we are to find the adjacent, then cosine ratio (CAH) will be appropriate:

`\cos \text{ 34}\degree\text{ = }\frac{adjacent}{\text{hypotenuse}}`
`\begin{gathered} \cos \text{ 34}\degree\text{ = }(x)/(14) \\ x\text{ = 14(cos 34}\degree) \\ x\text{ = 14(}0.8290)\text{ = 11.6065} \\ x\text{ = 11.61 (2 decimal place)} \end{gathered}`