If $m\angle ABC$ = $20°$ in a right triangle, what is the value of $\sin 20°$ rounded to two decimal places?

• A. $0.34$
• B. $0.94$
• C. $0.17$
• D. $0.50$

Answer: (A)

Verified step by step guidance

1. Identify the given angle in the right triangle, which is \(m\angle ABC = 20^\circ\).
2. Recall the definition of sine in a right triangle: \(\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}\).
3. Since the problem asks for \(\sin(20^\circ)\), understand that this is a trigonometric ratio value for the angle \$20^\circ$.
4. Use a scientific calculator or trigonometric tables to find the value of \(\sin(20^\circ)\) without rounding yet.
5. Finally, round the obtained value of \(\sin(20^\circ)\) to two decimal places to match one of the provided answer choices.