Question

what is \\(\tan(b)\\)?

\\(\tan(b) = \frac{\sqrt{?}}{}\\)

hint: remember sohcahtoa.

Explanation:

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<reasoning>

Identify the sides relative to angle B

\[

$$\begin{aligned} &\text{Opposite side} = \sqrt{85}\\ &\text{Adjacent side} = 6\\ &\text{Hypotenuse} = 11 \end{aligned}$$

\]

Apply the tangent ratio formula

\[
\tan(B) = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{\sqrt{85}}{6}
\]

Match the given expression format

\[

$$\begin{aligned} &\tan(B) = \frac{\sqrt{?}}{?}\\ &\tan(B) = \frac{\sqrt{85}}{6} \end{aligned}$$

\]
</reasoning>

<answer>
What is \(\tan(B)\)?

\(\tan(B) = \frac{\sqrt{\text{<blank>85</blank>}}}{\text{<blank>6</blank>}}\)
</answer>

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Answer:

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<reasoning>

Identify the sides relative to angle B

\[

$$\begin{aligned} &\text{Opposite side} = \sqrt{85}\\ &\text{Adjacent side} = 6\\ &\text{Hypotenuse} = 11 \end{aligned}$$

\]

Apply the tangent ratio formula

\[
\tan(B) = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{\sqrt{85}}{6}
\]

Match the given expression format

\[

$$\begin{aligned} &\tan(B) = \frac{\sqrt{?}}{?}\\ &\tan(B) = \frac{\sqrt{85}}{6} \end{aligned}$$

\]
</reasoning>

<answer>
What is \(\tan(B)\)?

\(\tan(B) = \frac{\sqrt{\text{<blank>85</blank>}}}{\text{<blank>6</blank>}}\)
</answer>

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