Problem Description:
The task involves analyzing the position of the sun at different times of the day and drawing the corresponding shadows cast by a tree. The goal is to understand how the angle of the sun affects the length and direction of the shadow.
Solution Approach:
1.
Understand the Relationship Between Sun Position and Shadow:
- When the sun is low in the sky (early morning or late evening), the shadow will be long because the light rays hit the object at a shallow angle.
- When the sun is high in the sky (around noon), the shadow will be short because the light rays hit the object more directly.
2.
Analyze Each Time of Day:
-
7 AM: The sun is low in the eastern sky, so the shadow will be long and extend towards the west.
-
10 AM: The sun is higher in the sky but still relatively low, so the shadow will be shorter than at 7 AM but still extend towards the west.
-
12 PM (Noon): The sun is at its highest point in the sky, so the shadow will be the shortest and directly underneath the tree.
-
2 PM: The sun is starting to descend in the western sky, so the shadow will begin to lengthen again and extend towards the east.
-
5 PM: The sun is lower in the western sky, so the shadow will be long and extend towards the east.
-
7 PM: The sun is very low in the western sky, so the shadow will be very long and extend towards the east.
3.
Draw the Shadows:
- Use straight lines to represent the shadows, ensuring they are consistent with the direction and length based on the sun's position.
Step-by-Step Solution:
#### 1.
7 AM:
- Sun is low in the eastern sky.
- Shadow is long and extends towards the west.
- Draw a long shadow extending to the left of the tree.
#### 2.
10 AM:
- Sun is higher but still in the eastern sky.
- Shadow is shorter than at 7 AM but still extends towards the west.
- Draw a shorter shadow extending to the left of the tree.
#### 3.
12 PM (Noon):
- Sun is directly overhead.
- Shadow is very short and directly underneath the tree.
- Draw a small shadow directly below the tree.
#### 4.
2 PM:
- Sun is in the western sky but still relatively high.
- Shadow is short and extends towards the east.
- Draw a short shadow extending to the right of the tree.
#### 5.
5 PM:
- Sun is lower in the western sky.
- Shadow is long and extends towards the east.
- Draw a long shadow extending to the right of the tree.
#### 6.
7 PM:
- Sun is very low in the western sky.
- Shadow is very long and extends towards the east.
- Draw a very long shadow extending to the right of the tree.
Final Answer:
The shadows should be drawn as follows:
-
7 AM: Long shadow extending to the left.
-
10 AM: Shorter shadow extending to the left.
-
12 PM: Very short shadow directly below the tree.
-
2 PM: Short shadow extending to the right.
-
5 PM: Long shadow extending to the right.
-
7 PM: Very long shadow extending to the right.
\boxed{\text{Shadows drawn according to the directions above.}}
Parent Tip: Review the logic above to help your child master the concept of shadow worksheet.
