In the given figure, if \[AB=14cm,\] then the value of tan B is:(CBSE 2012) |
A) \[\frac{4}{3}\]
B) \[\frac{14}{3}\]
C) \[\frac{5}{3}\]
D) \[\frac{13}{3}\]
Correct Answer: A
Solution :
[a] \[AC=\sqrt{{{13}^{2}}-{{5}^{2}}}=12\,cm\] |
\[DE=AC=12\,cm,\] |
\[BE=AB-AE=14cm-5cm=9cm\] |
In \[\Delta BED,\]\[\tan B=\frac{DE}{BE}=\frac{12}{9}=\frac{4}{3}\] |
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