The question I am having trouble on is as follows:
"As an Expert Mathematics Witness, you have been presented with a Ballistics Report, and a Police Report as your evidence. Use the information provided within these files to prove who, out of the three suspects, is guilty of the crime."
The pdf files are attached below.Police Report. Ballistics Report
The additional information given stated that angle W also equaled $ \dfrac{5\pi}{ 12}$. With this, I deduced the measure of the marked lines to be 19.32 meters through the sine law. Things get complicated on triangle VGH. I know that the length of VG is 19.32 meters, and that the angle HVG is equal to $\dfrac{5\pi}{12}$, but that is about it. The diagram is to be looked at in a 3D manner, since triangle VGW is considered on the ground, and triangle VGH is against the building.
My question is, how can I get the length of GH while knowing only one angle and one side length? It is not made clear whether the angle VGH is a right angle.
Thanks!
I think you have to assume that angle $VGH$ is a right angle. With that assumption, you can deduce the measure of the third angle, since you know $\theta = \frac{5π}{12}$. Or you could use the fact that $tan\theta=\frac{opp}{adj}=\frac{x}{19.32}$ and solve for $x$.