Answer:
B) 22.0
Step-by-step explanation:
We solve using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Adjacent = x
Opposite = 8
θ = 20°
tan θ = 8/x
tan 20° = 0.364
0.364 = 8/x
Cross Multiply
0.364 × x = 8
Divide both sides by 0.364
x = 8/0.364
x = 21.978021978
Approximately, x ≈ 22.0
Option B is the correct option
The approximate value of x is 22
We will use the SOH CAH TOA method to solve this question.
If we use the TOA, which means the Tan, we have
Tan = [tex]\frac{opp}{adj}[/tex]
we have the side opposite the angle to be 8, and the side adjacent to be X, the unknown value
Tan 20 = [tex]\frac{8}{x}[/tex]
when we cross multiply, we have that
x = [tex]\frac{8}{tan 20}[/tex]
from our diagram, we find out that tan 20 = 0.364, therefore
x = [tex]\frac{8}{0.364}[/tex]
x = 21.978
we were asked to approximate, and the answer is approximately 22
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