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