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
1 answer:
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
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Answer: 2 bookcases.
Step-by-step explanation:
Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.
According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:
Now you must solve for "x" in order to find its value:
Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:
Answer:
- B. Yes, because ED is perpendicular to DT which makes a right angle.
Step-by-step explanation:
Plot the given points and connect in pairs to get a triangle.
Visually we can say it is a right triangle as legs TD and ED seem perpendicular.
Let's confirm this by finding the slopes.
<u>Slope of TD:</u>
- m = (-1 - 4)/(1 -(-2)) = -5/3
<u>Slope of ED:</u>
- (-1 - 2)/ (1 - 6) = -3/-5 = 3/5
<u>Product of the slopes is:</u>
- -5/3*3/5 = -1
This confirms DT⊥ED
Correct choice is B
