Question

In the diagram below, tan theta = sqrt3. What is the value of m?

Answer 1

Answer:

$m=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

we know that

The tangent of angle theta is equal to divide the opposite side angle theta by the adjacent side angle theta

$tan(\theta)=\frac{m}{(1/2)}=2m$

$tan(\theta)=\sqrt{3}$

so

$2m=\sqrt{3}$

$m=\frac{\sqrt{3}}{2}$