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). 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).
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?
if h is the height of person and angle of elevation is alpha and length of shadow is d then
tan(alpha)=h/d
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