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Dr. Rollins is both an anthropologist and archeologist. While excavating some ruins in South America, he discovered a scale drawing of a replica of a Mayan pyramid.

The scale for the drawing to the replica was 1 inch : 2 feet.
The scale for the replica to the actual pyramid was 1 foot : 14 feet.
the height of the pyramid on the drawing was 
3(1)/(2) inches, what was the height of the actual pyramid?
A 196 feet
B 98 feet
C 49 feet
D 91 feet

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Dr. Rollins is both an anthropologist and archeologist. While excavating some ruins in South America, he discovered a scale drawing of a replica of a Mayan pyramid.\newline- The scale for the drawing to the replica was 11 inch : 22 feet.\newline- The scale for the replica to the actual pyramid was 11 foot : 1414 feet.\newlinethe height of the pyramid on the drawing was 312 3 \frac{1}{2} inches, what was the height of the actual pyramid?\newlineA 196196 feet\newlineB 9898 feet\newlineC 4949 feet\newlineD 9191 feet\newlineLearning 20242024, All Rights Reserved. Terms | Privacy PHONE 11877-877.3773779537-9537 | FAX 11877-877816-8160808-0808 Blog

Full solution

Q. Dr. Rollins is both an anthropologist and archeologist. While excavating some ruins in South America, he discovered a scale drawing of a replica of a Mayan pyramid.\newline- The scale for the drawing to the replica was 11 inch : 22 feet.\newline- The scale for the replica to the actual pyramid was 11 foot : 1414 feet.\newlinethe height of the pyramid on the drawing was 312 3 \frac{1}{2} inches, what was the height of the actual pyramid?\newlineA 196196 feet\newlineB 9898 feet\newlineC 4949 feet\newlineD 9191 feet\newlineLearning 20242024, All Rights Reserved. Terms | Privacy PHONE 11877-877.3773779537-9537 | FAX 11877-877816-8160808-0808 Blog
  1. Convert to feet: First, convert the height of the pyramid on the drawing from inches to feet using the scale 11 inch : 22 feet.32\frac{3}{2} inches * 22 feet/inch = \frac{\(7\)}{\(2\)} \(* 22 = 77\) feet.
  2. Find actual height: Next, use the scale for the replica to the actual pyramid, which is 11 foot : 1414 feet, to find the height of the actual pyramid.\newline77 feet ×14\times 14 feet/foot =98= 98 feet.
  3. Check answer choices: Check the answer choices to find the correct height of the actual pyramid.\newlineA 196196 feet\newlineB 9898 feet\newlineC 4949 feet\newlineD 9191 feet\newlineThe correct answer is B 9898 feet.

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