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

Explanation:

Step1: Identify the trigonometric ratio

In right - triangle $\triangle GHF$, we know the hypotenuse $HF = 2$ and we want to find the side opposite the angle $\angle H=26^{\circ}$. We use the sine ratio. The sine of an angle in a right - triangle is defined as $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. $\sin(26^{\circ})=\frac{x}{2}$

Step2: Solve for $x$

Multiply both sides of the equation by 2: $x = 2\times\sin(26^{\circ})$ We know that $\sin(26^{\circ})\approx0.4384$. $x=2\times0.4384 = 0.8768$

Step3: Round to the nearest tenth

Rounding $0.8768$ to the nearest tenth gives $0.9$.

Answer:

$0.9$