Answer :
The height of the building after using proportion is 110.5 ft.
What is proportion ?
The main conceptual underpinnings on which proportion is described are ratio and fractions. When two ratios are written as a fraction using the formula a/b, ratio a:b, and then a proportion, they are equal. A and b in this situation can be any two integers. For grasping the myriad concepts in science and mathematics, the ratio and proportion are crucial constructing elements. With the right amount of proportion, a variety of problems in daily life, such as those encountered in the kitchen or in business when processing transactions, can be resolved. It facilitates comparison by establishing a relationship between two or more quantities.
Here House height = 13ft
Shadow of the house height = 20 ft
Shadow of the building height = 170ft
Noe using proportion ,
=> [tex]\frac{House height}{shadow of the house} = \frac{building height}{shadow of the building}[/tex]
=> [tex]\frac{13}{20} = \frac{x}{170}[/tex]
=> x=[tex]\frac{13*170}{20}[/tex] =110.5 ft.
Hence the height of the building is 110.5 ft tall.
To learn more about proportion refer the below link
https://brainly.com/question/1496357
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