Problems Involving Shadows
Problems Involving Shadows
A shadow is a dark area where light from a light source is blocked by an opaque object. It occupies all of the three-dimensional volume behind an object with light in front of it. The cross section of a shadow is a two-dimensional silhouette, or a reverse projection of the object blocking the light.
Problems Involving Shadows : Shadows are formed when the person is obstructing the path of light. In the morning as the Sun rises from the East.
But in the evening as we know the sets in the West. All these directions will be reversed.
Illustration : In an evening when Suraj started walking from his house, his shadow was exactly towards his right. He walked 6 km. Then he turns to his left and moved 4 km. Again he turns to his right and walked 6 km. Then he turns to his right and moved 13 km. How far is he and in which direction from the starting point ?
A. 15 km North-East B. 15 km North C. 15 km South-East D. 16 km South E. 17 km East
Answer : A
Solution : In the evening when the Sun is in the West the shadow is in East In an evening when Suraj started walking from his house, his shadow was exactly towards his right. that means he is facing in North Direction.
The path he has traversed is shown in the figure below
The distance between A and E is calculated using pythagoras theorem
We see that AFE is a right angled triangle, right angled at F. So AE is the hypotenuse as it is the side opposite to right angle.
Vinod is driving a car, he moves in north and covers a distance of 30 km and than turns left and covers a distance of 30 km, and than turns right and covers a distance of 30 km, and than again turns left and covers a distance of 50 km. If he is driving during evening in which direction his car shadow will form? | |||
| Right Option : A | |||
| View Explanation | |||
At early morning, Riya is facing towards east. In which direction her shadow formed ? | |||
| Right Option : B | |||
| View Explanation | |||
One morning A and B were standing opposite to each other. The shadow of A fell exactly on his left. Towards which direction does B facing? | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
We started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
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8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
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Aman Kumar Shrivastava
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Om Umang
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Cheshta
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