Question

Use the Pythagorean Theorem to find AB. What is the trigonometric ratio equivalent to tan (C)?

Answer 1

So,

We're going to find the value of side AB first:

Using the pythagorean theorem, we got:

`\begin{gathered} (AB)^2=(37)^2-(12)^2 \\ (AB)^2=1369-144 \\ (AB)^2=1225 \\ AB=\sqrt[]{1225} \\ AB=35 \end{gathered}`

Now, remember that the tangent function is the ratio between the opposite side of the angle given and its adjacent side. Then,

`\tan (C)=(35)/(12)`

Therefore, the correct answer is B.