Question

KUCILIUILIT 16 30° Not drawn to scale a. X = 16, y = 32V3 b. X = 16v3, y = 32 x = 32, y = 1613 x = 32V3, y = 16 d. Η Α

Answer 1

For angle 30 degree, perpendicular side is 16, base is x and hypotenuse side is y.

Determine the length of side x by using trigonometry.

$\begin{gathered} \tan 30=\frac{16}{x} \\ \frac{1}{\sqrt[]{3}}=\frac{16}{x} \\ x=16\sqrt[]{3} \end{gathered}$

Determine the measure of y by using trigonometry.

$\begin{gathered} \sin 30=\frac{16}{y} \\ \frac{1}{2}=\frac{16}{y} \\ y=32 \end{gathered}$

So option b is correct.