Chapter 65, Problem 1A

If tan $A=4.13792$ , determine the value of angle A in decimal degrees rounded to the nearest hundredth of a degree.

To determine

The value of angle A in decimal degrees.

Answer to Problem 1A

The value of angle A is $A=76.41°$

Explanation of Solution

Given information:

$\tan A=4.13792$

Calculation:

From the given value of tangent function $\tan A=4.13792$, the value of A can be found by taking the inverse of the given function.

$\begin{array}{l}\tan A=4.13792\\ A={\tan }^{-1}\left(4.13792\right)\\ A=76.41°\end{array}$

The angle in decimal degrees is $A=76.41°$.

Conclusion:

Thus, the value of angle A is $A=76.41°$