Answer:
x=57.74 units
Explanation:
In the right triangle:
• The side ,adjacent to, angle 30 degrees = 50
,
• The length of the ,hypotenuse, = x
From trigonometric ratios:
[tex]\cos \theta=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]
Therefore:
[tex]\begin{gathered} \cos 30\degree=\frac{50}{x} \\ x\cos 30\degree=50 \\ x=\frac{50}{\cos 30\degree} \\ x=57.74\text{ units} \end{gathered}[/tex]
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
