Question

find the acute angle \\(\theta\\), to the nearest tenth of a degree, for the given function value. \\(\tan \theta = 0.8353\\) \\(\theta \approx \square^{\circ}\\) (type an integer or a decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Apply arctangent to isolate θ

$\theta = \arctan(0.8353)$

Step2: Calculate and round to nearest tenth

Use a calculator in degree mode to compute $\arctan(0.8353)$, then round to one decimal place.

Answer:

$40.0$