Answer: Letter C
Step-by-step explanation:
Remember the mnemonic SOH CAH TOA
Sine is Opposite/Hypotenuse
Cosine is Adjacent/Hypotenuse
Tangent is Opposite/Adjacent
You determine the theta angle first, usually either a written angle measure is given or the Greek letter theta with the degree symbol is shown
In this case, you need to find the value of x, which in this case is Opposite/Adjacent
So, Tangent of 30 degrees = 8/x
Tan(30) = 8/x
x = 8*Tan(30)
x = 4.61
x = 4.6
Answer is C