Question

solve for x. round to the nearest tenth, if necessary.
answer
x -

Explanation:

Step1: Use trigonometric ratio

In right - triangle \( \triangle YZT\), \(\cos T=\frac{YT}{ZT}\). Given \(YT = 95\), \(T = 67^{\circ}\), and \(ZT=x\).

Step2: Substitute values into formula

We know that \(\cos67^{\circ}=\frac{95}{x}\). Since \(\cos67^{\circ}\approx0.3907\), then \(x=\frac{95}{\cos67^{\circ}}\).

Step3: Calculate \(x\)

\(x=\frac{95}{0.3907}\approx243.2\)

Answer:

\(243.2\)