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tangare [24]
2 years ago
12

A person 2 m tall casts a shadow 10 m long. At the same time, a building casts a shadow 80 m long. How tall is the building ?

Mathematics
2 answers:
Novosadov [1.4K]2 years ago
8 0

Answer:

The building is 16 m tall.

Step-by-step explanation:

x/2 = 80/10

10x=160

10x/10 = 160/10

x=16

Volgvan2 years ago
3 0

Answer:

this is a ratio question. The answer is 16 m

Step-by-step 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.

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Step-by-step explanation:

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