Question

What is the approximate length of segment $AC$?

• A. $4.9$
• B. $6.7$
• C. $6.9$
• D. $7.1$
• E. $7.3$

Answer 1

The correct option is A $4.9$

If we name the height $D$, we do have a $△BCD$ in which we have the angles $30-60-90$ and $ABD45-45-90$.
From this, knowing the relative triplets $x-x\sqrt{3}-2x$ and $x-x-\sqrt{2}$
Now, $BC=6,BD=$ $\sqrt{3}$ and $DC=1$
If $BD=$ $\sqrt{3}$ $=AD$
So, $AC$ is long $\sqrt{3}+1=2.44\times 2\approx 4.9$