Question

find the length of side w. 40° 28 cm 36.5 cm 43.6 cm 18.0 cm 21.4 cm

Explanation:

Step1: Identify trigonometric ratio

Side \( w \) is opposite the \( 40^\circ \) angle; hypotenuse = 28 cm. Use \( \sin\theta = \frac{\text{opposite}}{\text{hypotenuse}} \).

Step2: Set up equation

\( \sin(40^\circ) = \frac{w}{28} \)

Step3: Solve for \( w \)

\( w = 28 \times \sin(40^\circ) \approx 28 \times 0.6428 \approx 18.0 \) cm

Answer:

18.0 cm