Question

In the diagram, a building casts a 35-ft shadow and a flagpole casts an 8-ft shadow. If the flagpole is 18 ft tall, how tall is the building? Round to the nearest tenth.

Answer 1

i think the answer is 29....don't quat me because im not 100% shore

Answer 2

The height o the building will be equal to 78.75 ft.

What is a ratio?

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Given that:-

• In the diagram, a building casts a 35-ft shadow and a flagpole casts an 8-ft shadow. If the flagpole is 18 ft tall,

The height of the building will be calculated as:-

Let the height be x ft. Now the ratio of the actual height of the building and flagpole and the shadow of the building and the pole will be the same.

$\dfrac{35}{18}=\dfrac{x}{18}\\\\\\x = \dfrac{18\times 35}{8}$

x  =  78.75 ft

Therefore the height o the building will be equal to 78.75 ft.

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