Question

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

Explanation:

Step1: Use sine function

In a right - triangle, \(\sin Z=\frac{opposite}{hypotenuse}\). Here, \(\angle Z = 68^{\circ}\), the side opposite to \(\angle Z\) is \(TY = 77\), and the hypotenuse is \(TZ=x\). So, \(\sin68^{\circ}=\frac{77}{x}\).

Step2: Solve for \(x\)

We can rewrite the equation as \(x=\frac{77}{\sin68^{\circ}}\). Since \(\sin68^{\circ}\approx0.9272\), then \(x=\frac{77}{0.9272}\).

Step3: Calculate the value

\(x=\frac{77}{0.9272}\approx83.0\)

Answer:

\(83.0\)