Question

Use the trigonometry function to find the value of xplease I need help It's going to be due tonight

Answer 1

x=57.74 units

Step-by-step explanation:

In the right triangle:

• The side ,adjacent to, angle 30 degrees = 50

,

• The length of the ,hypotenuse, = x

From trigonometric ratios:

`\cos \theta=\frac{\text{Adjacent}}{\text{Hypotenuse}}`

Therefore:

`\begin{gathered} \cos 30\degree=(50)/(x) \\ x\cos 30\degree=50 \\ x=(50)/(\cos 30\degree) \\ x=57.74\text{ units} \end{gathered}`

The value of x is 57.74.

Note:

To determine the trigonometric ratio to use, first identify the given lengths as Opposite, Adjacent and Hypotenuse (with respect to the angles).

Then use the mnemonic below:

• Sin=Opposite/Hypotenuse :SOH

,

• cos=Adjacent/Hypotenuse :CAH

,

• tan=Opposite/Adjacent: TOA