Question

solve for x. round to the nearest tenth, if necessary.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use the sine function

In a right - triangle, the sine of an angle is defined as $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 28^{\circ}$, the hypotenuse $LJ = 95$, and the side opposite to the $28^{\circ}$ angle is $x$. So, $\sin(28^{\circ})=\frac{x}{95}$.

Step2: Solve for $x$

Multiply both sides of the equation $\sin(28^{\circ})=\frac{x}{95}$ by $95$. We get $x = 95\times\sin(28^{\circ})$.
We know that $\sin(28^{\circ})\approx0.4695$. Then $x=95\times0.4695 = 44.6025$.

Answer:

$44.6$