Question

express the length x in terms of the trigonometric ratios of θ. x =

Explanation:

Step1: Identify trig - ratio

In the right - triangle, we know that $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, the opposite side to the angle $\theta$ is $x$ and the hypotenuse is 20.

Step2: Solve for $x$

From $\sin\theta=\frac{x}{20}$, we can cross - multiply to get $x = 20\sin\theta$.

Answer:

$20\sin\theta$