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

Use the Pythagorean Theorem to find AB. What is the trigonometric ratio equivalent-example-1

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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.

Use the Pythagorean Theorem to find AB. What is the trigonometric ratio equivalent-example-1
User Rudy Jessop
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