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a.
To find the height of the statue
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 30PPS
15.6 feet
Explanation of Solution
Given:
Height of an office building: b
Height of the granite statue: g
Total height of the building and the statue: 326.6 feet
Difference in heights between the building and the statue: 295.4 feet
Calculation:
Let b be the height of the building and g be the height of the granite statue.
The total height of the building and the statue can be represented by the equation:
The difference in heights of the building and the statue can be represented by the equation:
To find the height of the statue use elimination method as follows:
Subtract equation (2) from equation (1), so that b can be eliminated.
Conclusion:
Therefore, the granite statue is 15.6 feet tall.
b.
To find the height of the building
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 30PPS
311 feet
Explanation of Solution
Given:
Height of an office building: b
Height of the granite statue: g
Total height of the building and the statue: 326.6 feet
Difference in heights between the building and the statue: 295.4 feet
From subpart (a), the height of the granite statue is 15.6 feet.
Calculation:
Let b be the height of the building and g be the height of the granite statue.
The total height of the building and the granite statue is 326.6 feet, which can be represented as follows:
Substitute the height of the granite statue
Conclusion:
Therefore, the building is 311 feet tall.
Chapter 6 Solutions
Algebra 1
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