QuestionFind the angle $C$ if $\tan C=0.1405$ .

Studdy Solution

STEP 1

Assumptions1. $\tan C=0.1405$ . We are looking for the angle $C$ in degrees3. We will use the inverse tangent function to find the angle

STEP 2

We can find the angle $C$ by taking the inverse tangent of both sides of the equation. The inverse tangent, or $\arctan$ , of a number gives the angle whose tangent is that number.
$C = \arctan(\tan C)$

STEP 3

Substitute the given value into the equation.
$C = \arctan(0.1405)$

STEP 4

Calculate the value of $C$ .
To do this, you would typically use a calculator. Most calculators have an $\arctan$ or $\tan^{-1}$ button. Make sure your calculator is in degree mode if you want the answer in degrees.
The result will be approximately $C =7.97$ degrees.
So, the angle $C$ is approximately $7.97$ degrees.

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