Question

One building is 15 feet tall and another is 90 feet tall. Proportionally, the height of the smaller building is A) 1/6 the hight if the larger building b) 1/9 the height of the larger building c) 3/4 the height of taller building d) 6 times the height of the larger building

Answer 1

The answer will take the form: height smaller building = ? · height larger building, with ? = k. Already, you should be able to see that k must be less than 1. 15 feet = k (·) 90 feet; k = 15 /90 = 1/ 6 the height of the larger building.

Answer 2

Option A is the correct choice.

Step-by-step explanation:

We have been given that one building is 15 feet tall and another is 90 feet tall. We are asked to find the height of smaller building proportionally.

Since heights of both buildings are proportional so we will use proportions to find the height of smaller building in terms of height of larger building.

`\frac{\text{Height of smaller building}}{\text{Height of larger building}}=(15)/(90)`

`\text{Height of smaller building}=(1)/(6)* {\text{Height of larger building}`

We can see that height of smaller building is 1/6 of the height of larger building, therefore, option A is the correct choice.