Answer:
this is a ratio question. The answer is 16 m
Explanation:
The persons height to shadow length ratio is 2 : 10
We want to know what the height of the building is when the shadows length is 80.
Let H represent height:
Persons ratio:
2 : 10
Buildings ratio:
H : 80
In other words for every 2 meters height a 10 m shadow is casted so we want to know how many of this ratio can fit into the building:
Let’s find the equivalent ratio:
80/10=8
That means 8 of the persons ratio makes up the building. Let’s find the height of building by 2*8=16.
therefore the building is 16m tall.