Question

solve for x.
\\( \cos ( 20 ^ { \circ } ) = \frac { 4 } { x } \\)
\\( x = \\) ?
round to the nearest hundredth.

Explanation:

Step1: Solve for \(x\)

Given \(\cos(20^{\circ})=\frac{4}{x}\), we can rewrite it as \(x = \frac{4}{\cos(20^{\circ})}\).

Step2: Calculate \(\cos(20^{\circ})\)

Using a calculator, \(\cos(20^{\circ})\approx0.9397\).

Step3: Compute \(x\)

\(x=\frac{4}{0.9397}\approx4.26\)

Answer:

\(4.26\)