Question

express tan b as a fraction in simplest terms.
triangle with right angle at c, side cd is √31, side cb is 12, vertices d, c, b
answer attempt 1 out of 2
tan b = blank submit answer

Explanation:

Step1: Identify sides for tan B

In right triangle \( \triangle BCD \) (right-angled at \( C \)), \( \tan B = \frac{\text{opposite to } B}{\text{adjacent to } B} = \frac{CD}{BC} \). Given \( CD = \sqrt{31} \), \( BC = 12 \).

Step2: Simplify the fraction

\( \sqrt{31} \) is irrational, so \( \frac{\sqrt{31}}{12} \) is simplest.

Answer:

\( \frac{\sqrt{31}}{12} \)