After a long day at work, you come home to find that someone has come in and stolen several items in your home. Luckily, you have a security camera mounted in the kitchen and are lucky enough to live next door to a grocery store that has cameras outside that view the entire front side of your house. While watching the cameras, you find that one thief was a man and one was a woman. While the woman was in the kitchen, a motion light that was mounted on a wall shined down on her and cast a shadow that was the exact length as the width of the counter, which you measure to find is 5 feet wide. From watching the camera, you know the angle of elevation to the light is between (pi/4) and (4pi/15). When the thieves first got there, since it was nighttime, a ground mounted light automatically came on and shone on the man from an angle of elevation of (pi/5). When this happens, the man standing 1.2 feet from the door and cast a shadow on the house that perfectly lined up with the height of the door, which is 7 feet. The police have a list of 8 people who they think they could possibly have done it. The male heights and names are as follows. George is 5 ft 6 inches Bob is 5 ft 11 inches Terrance is 6 ft John is 6 ft 2 inches The female heights and names are as follows. Amanda is 5 ft 2 inches Karen is 5 ft 6 inches Alissa is 5 ft 7.5 inches Kyla is 6 ft Who could it possibly have been?
After a long day at work, you come home to find that someone has come in and stolen several items in your home. Luckily, you have a security camera mounted in the kitchen and are lucky enough to live next door to a grocery store that has cameras outside that view the entire front side of your house. While watching the cameras, you find that one thief was a man and one was a woman.
While the woman was in the kitchen, a motion light that was mounted on a wall shined down on her and cast a shadow that was the exact length as the width of the counter, which you measure to find is 5 feet wide. From watching the camera, you know the angle of elevation to the light is between (pi/4) and (4pi/15).
When the thieves first got there, since it was nighttime, a ground mounted light automatically came on and shone on the man from an angle of elevation of (pi/5). When this happens, the man standing 1.2 feet from the door and cast a shadow on the house that perfectly lined up with the height of the door, which is 7 feet.
The police have a list of 8 people who they think they could possibly have done it. The male heights and names are as follows.
George is 5 ft 6 inches
Bob is 5 ft 11 inches
Terrance is 6 ft
John is 6 ft 2 inches
The female heights and names are as follows.
Amanda is 5 ft 2 inches
Karen is 5 ft 6 inches
Alissa is 5 ft 7.5 inches
Kyla is 6 ft
Who could it possibly have been?
Given, height of door is
Let the height of thief is x feet.
Since, the man standing 1.2 feet from the door and cast a shadow on the house that perfectly lined up with the height of the door.
According to situation, figure is
Here is the door, which height is 7 ft.
is the shadow of door.
height of thief is feet. Thief is 1.2 ft away from door such that the shadow of thief and door in line.
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