a vertical stick 2m long cast a shadow 1m long,at the same time a building cast a shadow 15m long.How tall is the building?
Cross multiply and solve for x.
2/1 = x/15
To find the height of the building, we can set up a proportion using the lengths of the shadows.
Let's assign variables to the unknowns:
- Height of the building = B (in meters)
Given information:
- Length of the vertical stick = 2 meters
- Length of the vertical stick's shadow = 1 meter
- Length of the building's shadow = 15 meters
We can set up the proportion using the ratios of the heights to the lengths of their respective shadows:
B / 15 = 2 / 1
Now, we can solve for B by cross-multiplying and then dividing:
B = (2 * 15) / 1
Simplifying further,
B = 30 meters
Therefore, the height of the building is 30 meters.