Question

Given $\cos A=0.25$, find $\angle A$ in degrees. Round the value to the nearest hundredth.

Answer 1

Find the value of the angle $A$.

$$\begin{gathered} \cos A=0.25\left[Take\cos inverse\right] \\ \Rightarrow A={\cos }^{-1}\left(0.25\right) \\ \Rightarrow A=75.{5224}^{\circ } \\ \Rightarrow A\approx 75.52° \end{gathered}$$

Hence, the value of $\angle A$ is $75.{52}^{\circ }$.