Question

b) \\( cos 24.5 ^ { circ } = \frac { x } { 18 } \\)

Explanation:

Step1: Solve for \(x\)

Given \(\cos24.5^{\circ}=\frac{x}{18}\), multiply both sides by \(18\) to isolate \(x\).
\(x = 18\times\cos24.5^{\circ}\)

Step2: Calculate \(\cos24.5^{\circ}\)

Using a calculator, \(\cos24.5^{\circ}\approx0.909968\)

Step3: Compute \(x\)

\(x = 18\times0.909968 = 16.379424\)

Step4: Round to 1 decimal place

\(x\approx16.4\)

Answer:

\(16.4\)