Question

From the following figure, $\tan C$ is $\frac{8}{m}$. The value of $m$ is:

Answer 1

In a right angled triangle BAC, angle A=90 degree

AB=8

BC=17

AC will be as per Pythagoras theoram

$AC=\sqrt{{17}^2-8^2}$

$AC=\sqrt{289-64}$

$AC=\sqrt{225}=15$

$\tan C=\frac{8}{m}=\frac{8}{15}$

m is 15