Answer
x = 6.71 units
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.
For this question,
Hypotenuse = 12
Opposite = x
Adjacent = ?
Angle = 34°
So, using trignometric ratios, we can say
Sin 34° = (Opp/Hyp)
Sin 34° = (x/12)
Sin 34° = 0.5592
Sin 34° = (x/12)
0.5592 = (x/12)
Cross multiply
x = 12 (0.5592)
x = 6.71 units
Hope this Helps!!!
