Answer:
Option C is correct
the measure of the angle to the nearest tenth is, 73.6°
Step-by-step explanation:
Let angle of measure in degree be A
As per the statement:
The tangent of an angle is 3.4.
⇒![\tan A = 3.4](https://tex.z-dn.net/?f=%5Ctan%20A%20%3D%203.4)
Taking tan inverse both sides we have;
![A = \tan^{-1} (3.4)](https://tex.z-dn.net/?f=A%20%3D%20%5Ctan%5E%7B-1%7D%20%283.4%29)
Simplify:
A= 73.61045967°
Therefore, the measure of the angle to the nearest tenth is, 73.6°