Question

type the correct answer in the box. what trigonometric expression can be used to find the value of x? replace a and b with the correct values. x = a tan(b)

Explanation:

Step1: Recall tangent definition

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, the angle $\theta = 50^{\circ}$, the adjacent side to the $50^{\circ}$ angle is 10 and the opposite side is $x$.
So, $\tan(50^{\circ})=\frac{x}{10}$.

Step2: Solve for $x$

Multiply both sides of the equation $\tan(50^{\circ})=\frac{x}{10}$ by 10. We get $x = 10\times\tan(50^{\circ})$.

Answer:

$x = 10\times\tan(50^{\circ})$