Question

1. the tangent of an angle is 3.4. what is the measure of the angle to the nearest tenth?

73.6°
52.9°
99.8°
68.2°

Explanation:

Step1: Recall the inverse tangent function

To find the angle whose tangent is 3.4, we use the inverse tangent function, denoted as $\tan^{-1}$ or $\arctan$. So we need to calculate $\theta = \arctan(3.4)$.

Step2: Use a calculator to find the angle

Using a calculator (make sure it is in degree mode), we input $\arctan(3.4)$. Calculating this, we get approximately 73.6 degrees when rounded to the nearest tenth.

Answer:

73.6°