Given:
Length of leg = 16.5
Angle = 31 degrees.
Let's find the length of the hypotenuse.
To find the length of the hypotenuse, apply the trigonometric ratio formula for sine:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
Where:
Opposite side is the side opposite the angle = 16.5
θ is the angle = 31 degrees.
Hence, we have:
[tex]\begin{gathered} sin31=\frac{16.5}{hyotenuse} \\ \\ hypotenuse=\frac{16.5}{sin31} \\ \\ hypotenuse=\frac{16.5}{0.515} \\ \\ hypotenuse=32.03 \end{gathered}[/tex]
Therefore, the length of the hypotenuse is 32.0 units.
ANSWER:
32.0
