On a sunny day object A has a shadow of length 3 meters and a meter stick has a shadow 1.5 meters while object b has a shadow of length 6 meters how tall is object A AND B
A/3 = 1/1.5.
A = 2 m.
B/6 = 1/1.5.
B = 4 m.
To determine the height of objects A and B, we can use the concept of similar triangles. This involves comparing the ratios of corresponding sides of two triangles that are similar.
Let's start by examining the relationship between the shadow lengths and the height of the objects. We have the following information:
Object A:
Shadow length: 3 meters
Meter stick:
Shadow length: 1.5 meters
Object B:
Shadow length: 6 meters
We need to find the height of object A and object B.
1) Comparing Object A to the meter stick:
The ratio of the shadow length of object A to that of the meter stick is 3:1.5 or 2:1.
Since the shadows of object A and the meter stick were created by the same sunlight, we can infer that their vertical heights must also be in the ratio of 2:1. Therefore, if the meter stick has a height of 1 meter, the height of object A can be calculated as follows:
Height of A = (Ratio of shadow lengths) x (Height of meter stick)
Height of A = 2 x 1 meter
Height of A = 2 meters
Therefore, object A has a height of 2 meters.
2) Comparing Object B to the meter stick:
The ratio of the shadow length of object B to that of the meter stick is 6:1.5 or 4:1.
Similar to the previous calculation, we can use the ratio of shadow lengths to determine the height of object B. If the meter stick has a height of 1 meter, the height of object B can be calculated as follows:
Height of B = (Ratio of shadow lengths) x (Height of meter stick)
Height of B = 4 x 1 meter
Height of B = 4 meters
Therefore, object B has a height of 4 meters.
In summary:
- Object A has a height of 2 meters.
- Object B has a height of 4 meters.