Question

in the triangle below, what is the length of the side opposite the 60° angle? a. 3√3 b. 3 c. 6 d. √3

Explanation:

Step1: Identify hypotenuse value

Hypotenuse $c = 2\sqrt{3}$

Step2: Use sine for opposite side

$\sin(60^\circ) = \frac{\text{opposite}}{c}$
$\text{opposite} = c \times \sin(60^\circ)$
$\text{opposite} = 2\sqrt{3} \times \frac{\sqrt{3}}{2}$

Step3: Simplify the expression

$\text{opposite} = \frac{2\sqrt{3} \times \sqrt{3}}{2} = \frac{2 \times 3}{2} = 3$

Answer:

B. 3