Test: Unit 7 - Ballistics Spring 2025 POSSIBLE POINTS: 13: Show your work for this calculation: A pedestrian was shot in the head while working down the street.and witnesses said they heard gunshots coming from a building nearby. Calculate the shooter's likely vertical position from the ground, based on the following information: Angle of impact: 25 degrees Distance to the bullding:100ft Height of the bullet wound found in the pedestrian, from the ground.6ft SHOW ALL YOUR WORK NO SETUP = ZERO SCORE!

## Step 1<br />We are given the angle of impact, the distance to the building, and the height of the bullet wound. We are asked to find the shooter's likely vertical position from the ground. We can use the tangent of the angle of impact to find this. The tangent of an angle in a right triangle is defined as the ratio of the opposite side to the adjacent side.<br /><br />### **The formula for tangent is: \( \tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}} \)**<br /><br />## Step 2<br />In this case, the opposite side is the height of the bullet wound (6ft), and the adjacent side is the distance to the building (100ft). So, we can set up the equation as follows:<br /><br />### **\( \tan(25^\circ) = \frac{6ft}{100ft} \)**<br /><br />## Step 3<br />To solve for the height of the shooter, we can rearrange the equation to solve for the opposite side:<br /><br />### **\( \text{opposite side} = \tan(25^\circ) \times 100ft \)**<br /><br />## Step 4<br />Now we can substitute the given values into the equation:<br /><br />### **\( \text{opposite side} = \tan(25^\circ) \times 100ft = 43.6ft \)**<br /><br />## Step 5<br />The height of the bullet wound is 6ft, so we subtract this from the height of the shooter to find the shooter's likely vertical position from the ground:<br /><br />### **\( \text{Shooter's height} = \text{opposite side} - \text{height of the bullet wound} = 43.6ft - 6ft = 37.6ft \)**