Question

use a calculator to find the value of the acute angle, θ, to the nearest degree. cosθ = 0.8541 θ ≈ □° (round to the nearest degree as needed.)

Explanation:

Step1: Use inverse cosine function

To find \(\theta\) when \(\cos\theta = 0.8541\), we use the inverse cosine function, \(\theta=\cos^{-1}(0.8541)\).

Step2: Calculate with calculator

Using a calculator in degree mode, we find \(\cos^{-1}(0.8541)\approx31\) (after rounding to the nearest degree).

Answer:

\(31\)