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As part of a project for his cartography...

As part of a project for his cartography elective, Adam climbs several hills to create a relief map for the woods surrounding his house. He records the vertical height of the five hills he climbed at 55 feet, 42 feet,38 feet ,50 feet and 48 feet. For his project, Adam must convert his measurements to inches. IF 1 foot=12 inches, what is the measurement , in inches, of the tallest hill Adam will have on his map?

A

660

B

600

C

576

D

456

Text Solution

AI Generated Solution

The correct Answer is:
To find the measurement in inches of the tallest hill that Adam climbed, we will follow these steps: ### Step 1: Identify the heights of the hills Adam recorded the heights of the hills as follows: - Hill 1: 55 feet - Hill 2: 42 feet - Hill 3: 38 feet - Hill 4: 50 feet - Hill 5: 48 feet ### Step 2: Determine the tallest hill From the recorded heights, we need to find the tallest hill. We compare the heights: - 55 feet - 42 feet - 38 feet - 50 feet - 48 feet The tallest hill is clearly **55 feet**. ### Step 3: Convert the height from feet to inches We know that 1 foot is equal to 12 inches. To convert the height of the tallest hill (55 feet) into inches, we use the conversion factor: \[ \text{Height in inches} = \text{Height in feet} \times 12 \] Substituting the height of the tallest hill: \[ \text{Height in inches} = 55 \text{ feet} \times 12 \text{ inches/foot} \] ### Step 4: Calculate the height in inches Now we perform the multiplication: \[ 55 \times 12 = 660 \] ### Conclusion The measurement of the tallest hill that Adam will have on his map is **660 inches**.
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