Find tan B and round to the nearest ten-thousandth if a = 12, b = 10, and c = 15.6.
A)0.6410
B)0.8333
C)1.200
D)0.7692

Question

Find tan B and round to the nearest ten-thousandth if a = 12, b = 10, and c = 15.6. 
A)0.6410 
B)0.8333 
C)1.200 
D)0.7692

Quizplus · Accepted Answer

We can use the formula $	an B = \frac{a}{b}$ where $a$ and $b$ are the legs of the right triangle opposite and adjacent to angle $B$. Plugging in the given values, we get $	an B = \frac{12}{10} = 1.2$. Rounding to the nearest ten-thousandth, we get $	an B \approx 0.8333$. Therefore, the best choice is $\boxed{	ext{(B)}}$.

Find Tan B and Round to the Nearest Ten-Thousandth If