The sine is the ratio of perpendicular and hypotenuse. Then the value of hypotenuse (x) is 18.67 units.
What is trigonometry?
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The perpendicular of the right triangle is 12 units.
The angle is 40 degrees.
Let thye hypotenuse be x.
We know that the sine is given as
[tex]\begin{aligned} \rm sin \ \theta &= \rm \dfrac{Perpendicular}{Hypotenuse}\\\\\\\rm sin 40 &= \rm \dfrac{12}{x}\\\\\\\rm x &= \rm \dfrac{12}{sin40}\\\\\\\rm x &= 18.668 \approx 18.67\end{aligned}[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
