Find tan B to the nearest ten-thousandth if a = 14.5, b = 7.8, and c = 16.5.
A)0.4727
B)0.5379
C)1.8591
D)0.8788

Name: Find tan B to the nearest ten-thousandth if a = 14.5, b = 7.8, and c = 16.5. A)0.4727 B)0.5379 C)1.8591 D)0.8788
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Question

Find tan B to the nearest ten-thousandth if a = 14.5, b = 7.8, and c = 16.5. 
A)0.4727 
B)0.5379 
C)1.8591 
D)0.8788

Quizplus · Accepted Answer

We can use the formula $b = a	an B$ to solve for $	an B$. Rearranging, we have $	an B = \frac{b}{a}$. Plugging in $a = 14.5$ and $b = 7.8$, we get $	an B = \frac{7.8}{14.5} \approx 0.5379$. Therefore, the answer is choice (B).

Find Tan B to the Nearest Ten-Thousandth If a =