Question

solve for z. round to the nearest tenth of a degree, if necessary.
answer
z =

Explanation:

Step1: Use cosine function

In a right - triangle, \(\cos z=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, the adjacent side to angle \(z\) is \(48\) and the hypotenuse is \(94\). So, \(\cos z=\frac{48}{94}\).

Step2: Calculate \(z\)

\(z = \cos^{-1}(\frac{48}{94})\).
\(\frac{48}{94}\approx0.5106\).
\(z=\cos^{-1}(0.5106)\approx59.3^{\circ}\)

Answer:

\(59.3\)