Question

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

Explanation:

Step1: Use sine function

In right - triangle $\triangle WTY$, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 72^{\circ}$, the opposite side to the $72^{\circ}$ angle is $WT = 3.9$ and the hypotenuse is $x$. So, $\sin72^{\circ}=\frac{3.9}{x}$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{3.9}{\sin72^{\circ}}$. Since $\sin72^{\circ}\approx0.9511$, then $x=\frac{3.9}{0.9511}$.

Step3: Calculate the value of $x$

$x=\frac{3.9}{0.9511}\approx4.1$.

Answer:

$4.1$