Question

Directions: Using the image and the scenario provided in the trajectory scenario activity Question #1, determine the trajectory the bullet traveled. Drawings are not to scale. Question #1. A bullet from a sniper struck and killed a controversial political figure who was waiting in a nearby car as a passenger. Crime scene investigators are unsure what floor of the building the shot came from. The first floor of the hotel is 25 ft. high. Each subsequent floor is 15 ft. tall. Entry point on car window above horizontal = 12 in. Distance from car window to victim = 42 in. Distance from building to victim’s car = 350 ft. Using the measurements from the scene, determine what floor of the building the shooter came from. Tips: Convert units to feet, Complete ratio to find the height of the shooter in feet. To determine the floor number from feet: 25 + 15x, The floor number = add one to x. Which means the shooter was on which floor? a 5 b 6 c 7 d 8

Answer 1

Answer: 6 floors

Step-by-step explanation: Given that:

The first floor height = 25ft

Where each subsequent floor is 15 ft. tall.

Entry point on car window above horizontal = 12 in.

Distance from car window to victim = 42 in.

Distance from building to victim’s car = 350 ft.

Using similarity in angle method, we have

(25 + 15x)/350 = 12 in/42 in

Convert inches to feet by dividing the value by 12

(25 + 15x)/350 = 1/3.5

Cross multiply

3.5(25 + 15x) = 350

87.5 + 52.5x = 350

52.5x = 350 - 87.5

52.5x = 262.5

X = 262.5/52.5

X = 5

Therefore,

The floor number = 1 + 5 = 6 floors