Question

find the missing side.
28° 15
cos (28°) = \frac{15}{z} z = ?
round to the nearest tenth.

Explanation:

Step1: Solve for \( z \)

Given \( \cos(28^{\circ})=\frac{15}{z} \), we can rewrite it as \( z=\frac{15}{\cos(28^{\circ})} \).

Step2: Calculate \( \cos(28^{\circ}) \)

Using a calculator, \( \cos(28^{\circ})\approx0.88295 \).

Step3: Compute \( z \)

Substitute the value of \( \cos(28^{\circ}) \) into \( z=\frac{15}{0.88295} \).
\( z=\frac{15}{0.88295}\approx17.0 \)

Answer:

\( 17.0 \)