Question

use a calculator to find the value of the acute angle \\(\theta\\) to the nearest degree. \\(\tan \theta = 4.7758\\) \\(\theta = \square^{\circ}\\) (round to the nearest degree.)

Explanation:

Step1: Apply arctangent to isolate $\theta$

$\theta = \arctan(4.7758)$

Step2: Calculate and round to nearest degree

Use calculator to find $\arctan(4.7758) \approx 78^\circ$

Answer:

$78$