Answer:
x = 18.3
Explanation:
You want the length of the hypotenuse of a right triangle given the side opposite the 41° angle is 12 units.
Sine
The sine relation is ...
Sin = Opposite/Hypotenuse
This can be rearranged to ...
Hypotenuse = Opposite/Sin
x = 12/sin(41°) ≈ 18.3 . . . . units
The value of x is about 18.3.
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Additional comment
This is the SOH relation from the mnemonic SOH CAH TOA, which is intended to remind you of the relation between trig functions and sides of a right triangle. The others tell you ...
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
In the attached, note the calculator mode is set to DEG (degrees) so the argument of the Sin( ) function will be interpreted properly.