Answer:
A. x = 6.54
Step-by-step explanation:
Given the following data;
Angle (d) = 33°
Hypotenuse = 12
To find the opposite side, x?
In a right-angled triangle;
[tex] Sin(d) = \frac {opposite}{hypotenuse} [/tex]
Substituting into the equation, we have;
[tex] Sin(33) = \frac {x}{12} [/tex]
Cross-multiplying, we have;
[tex] x = Sin(33)*12[/tex]
[tex] x = 0.5446*12[/tex]
x = 6.5357
Rounding up to the nearest hundredths;
x = 6.54
