Question

From the given figure, find the value of m if, tan C is $\frac{m}{4}$.

Answer 1

Given: $\angle B={90}^{\circ }$, $AB=3$ and $BC=4$

In $△ABC$,

$\tan C=\frac{AB}{BC}=\frac{3}{4}$

$but,\tan C=\frac{m}{4}$

$\therefore m=3$