Answer:
the length of ac is 16.
Step-by-step explanation:
Given;
A is right angle, = 90⁰
B is 30⁰
ab = 16√3
C
↓
↑
A → ← B
If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.
The length of ac is calculated as follows;
[tex]tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16[/tex]
Therefore, the length of ac is 16.
