Question

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

Explanation:

Step1: Use sine function

In a right - triangle, \(\sin S=\frac{opposite}{hypotenuse}\). Here, \(\angle S = 26^{\circ}\), the side opposite to \(\angle S\) is \(UT = 75\), and the hypotenuse is \(US=x\). So, \(\sin26^{\circ}=\frac{75}{x}\).

Step2: Solve for \(x\)

Rearrange the formula to \(x=\frac{75}{\sin26^{\circ}}\). Since \(\sin26^{\circ}\approx0.4384\), then \(x=\frac{75}{0.4384}\approx171.1\).

Answer:

\(x = 171.1\)