Question

use a calculator to find the value of the acute angle, θ, to the nearest degree. cos θ = 0.4087 θ ≈ □° (round to the nearest degree as needed.)

Explanation:

Step1: Use inverse - cosine function

$\theta=\cos^{- 1}(0.4087)$

Step2: Calculate with calculator

Using a calculator, $\cos^{-1}(0.4087)\approx66.99^{\circ}$

Step3: Round to nearest degree

Rounding $66.99^{\circ}$ to the nearest degree gives $67^{\circ}$

Answer:

$67$