Sally had just got her license and the first night her parents said she could drive, she came home and her little dog ran in front of her. To avoid her dog, she smashed into the side of the house. After everyone was determined to be OK, she had the fun of repairing the damage to the house.  She offered to paint the side of the house for her parents. Her parents left it up to her to buy the paint and do all the work. Using her amazing Algebra 2 skills she thought she’d calculate what to buy. The first step was to determine how much paint she would need.  First, she needed to determine the surface area of the side of the house in order to estimate the number of gallons of paint she would need. She knew the top of the house was an isosceles triangle.  She figured she could climb on a ladder to measure the angle between the pitch of the roof and the wall, and the rest was pretty easy. Using composite figures and trigonometry she calculated the area of the side of the house.  INext, she went to the local hardware store and learned that there are many different types of paint. So she created a table to compare the different kinds and determine which would be best.   Calculate the square area of the side of the house. Image of the house with measurements. Create your own table (use the sample table) comparing the prices of paint. Choose three types of paint. Some might contain primer, a substance that helps the paint stick better and appear darker. These are often more expensive, but that would be one less coat of paint. use this sample table .  Summarize the plan of action that Sally should take.    Type of Paint   Price/gallon   Coverage   Surface Area of the side of the House   # gallons for one coat    Number of coats   Total # of gallons   Cost     Behr   200-400            Sherwin Williams   350            Glidden (no primer)    350            Primer   350

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Sally had just got her license and the first night her parents said she could drive, she came home and her little dog ran in front of her. To avoid her dog, she smashed into the side of the house. After everyone was determined to be OK, she had the fun of repairing the damage to the house. 

She offered to paint the side of the house for her parents. Her parents left it up to her to buy the paint and do all the work. Using her amazing Algebra 2 skills she thought she’d calculate what to buy. The first step was to determine how much paint she would need. 

First, she needed to determine the surface area of the side of the house in order to estimate the number of gallons of paint she would need. She knew the top of the house was an isosceles triangle.  She figured she could climb on a ladder to measure the angle between the pitch of the roof and the wall, and the rest was pretty easy.

Using composite figures and trigonometry she calculated the area of the side of the house.  INext, she went to the local hardware store and learned that there are many different types of paint. So she created a table to compare the different kinds and determine which would be best.

 

Calculate the square area of the side of the house. Image of the house with measurements.

Create your own table (use the sample table) comparing the prices of paint. Choose three types of paint. Some might contain primer, a substance that helps the paint stick better and appear darker. These are often more expensive, but that would be one less coat of paint. use this sample table . 

Summarize the plan of action that Sally should take.

 

 Type of Paint   Price/gallon   Coverage   Surface Area of the side of the House   # gallons for one coat    Number of coats   Total # of gallons   Cost 

 

 Behr   200-400          
 Sherwin Williams   350          
 Glidden (no primer)    350          
 Primer   350          
10 ft
3. Use Triangle
Sum theorem
1. Draw a line to divide into shapes
35 ft
4. Use Law of Sines to
calculate this side
5. Find area using
Area Sin Formula.
117.2°
2. Calculate
this angle
Transcribed Image Text:10 ft 3. Use Triangle Sum theorem 1. Draw a line to divide into shapes 35 ft 4. Use Law of Sines to calculate this side 5. Find area using Area Sin Formula. 117.2° 2. Calculate this angle
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