Question

which equation can you use to solve for θ in the figure shown?
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done

Explanation:

Step1: Recall Sine Definition

In a right triangle, $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify Sides

For angle $\theta$: opposite side = 45 ft, hypotenuse = 54.8 ft.

Step3: Apply Sine Formula

Substitute into $\sin(\theta)$: $\sin(\theta) = \frac{45}{54.8}$.

Answer:

$\sin(\theta) = \frac{45}{54.8}$ (the third option)