Answer
Option B is correct.
x = 38.5 units
Step-by-step explanation
In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.
So, after noting the three sides in a right triangle, we will then use trignometric ratios to solve for any of the unknown. If the non-right-angle angle given is θ, the trignometric ratios in short forms are written as
SOH, CAH and TOA
SOH means Sin θ = (Opp/Hyp)
CAH means Cos θ = (Adj/Hyp)
TOA means Tan θ = (Opp/Adj)
So, the one to be used depends on the sides of the triangle that are provided.
For this question,
Hypotenuse = x = ?
Opposite = ?
Adjacent = 34
Angle = θ = 28°
CAH means Cos θ = (Adj/Hyp)
Cos 28° = (34/x)
0.8829 = (34/x)
Cross multiply
x = (34/0.8829)
x = 38.5 units
Hope this Helps!!!