Question

Several shots were fired during a concert downtown. The performing musician received minor injuries, and no one else was injured. The musician is now suing the city for not providing proper security for the event. The musician has had financial trouble after leaving a successful boyband, and there are rumors that the musician organized the shooting so he could collect money from the lawsuit. A tree near the stage was found with several bullet holes, and it was determined the shots could not have come from the crowd. The musician owns the penthouse in the apartment building in front of the concert venue, so forensic analysts want to determine if the shots could have come from there. The penthouse is on the sixth floor, which is 85 feet from the ground. The building is 60 feet from the tree. Using the measurements from the crime scene, show your math to determine if the shooter came from the penthouse.​

Answer 1

Step-by-step explanation:

To determine if the shooter could have come from the penthouse, we need to calculate the angle of elevation from the penthouse to the tree. We can use trigonometry to do this.

We know that the height of the penthouse is 85 feet, and the distance from the penthouse to the tree is 60 feet. We can use the tangent function to calculate the angle of elevation:

tan(angle of elevation) = opposite / adjacent

opposite = height of penthouse = 85 feet

adjacent = distance from penthouse to tree = 60 feet

tan(angle of elevation) = 85 / 60

angle of elevation = arctan(85/60)

Now we have the angle of elevation, we can determine if the shooter could have come from the penthouse. If the angle of elevation is greater than 90 degrees, the shooter would have had to shoot at an impossible angle, and the shots could not have come from the penthouse.

In this case, the angle of elevation is approximately 62.9 degrees, which is less than 90 degrees. So the shots could have come from the penthouse.

It's important to note that this is a simplified calculation based on the data provided, and it is not a conclusive evidence. A detailed investigation is required to gather all the facts and evidence before determining the shooter's location.