find the height of a pole which casts a shadow 22 cm long at a time and place where the shadow of a stick one meter long ig is 55cm
40
To find the height of a pole, you can use the concept of similar triangles. Similar triangles have proportional sides.
Let's assign some variables:
- Let's call the height of the pole h.
- Let's call the length of the pole's shadow at a given time and place s.
- Let's call the length of the stick's shadow p.
In the first case, where the shadow is 22 cm long, we have:
Height of the pole (h) / Length of the pole's shadow (s) = Height of the stick (1 m) / Length of the stick's shadow (p)
Using the values given:
h / 22 = 1 / p
In the second case, where the stick's shadow is 55 cm long, we have:
1 / p = h / 55
Now we can solve for h by setting the two equations equal to each other:
h / 22 = h / 55
To solve this equation for h, we can cross multiply:
h * 55 = h * 22
Now we can simplify the equation:
55h = 22h
Divide both sides of the equation by 22:
55h / 22 = h
Simplifying further:
2.5h = h
Divide both sides of the equation by h:
2.5 = 1
This equation is not possible, which means there is no value of h that satisfies both conditions. Double-check the given values and ensure they are accurate.
since the ratio of height to shadow-length is the same,
h/22 = 100/55