Question

find the length of side ( x ) to the nearest tenth.
image of a right triangle with a right angle, a 60° angle, a 30° angle, hypotenuse 12, and side ( x ) opposite the 60° angle

Explanation:

Step1: Identify triangle type

It is a right triangle with angles 30°, 60°, 90°.

Step2: Use sine function

$\sin(30^\circ) = \frac{x}{12}$

Step3: Solve for x

$x = 12 \times \sin(30^\circ) = 12 \times 0.5 = 6.0$

Answer:

6.0