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.
If the height of the pyramid on the drawing was
3 1/2 inches, what was the height of the actual pyramid?
Responses
A 196 feet196 feet
B 98 feet98 feet
C 49 feet49 feet
D 91 feet
C 49 feet
To find the height of the actual pyramid, first convert the height on the drawing to feet:
3 1/2 inches = 3.5 inches
1 inch on the drawing = 2 feet in reality
3.5 inches on the drawing = 3.5 * 2 = 7 feet
Now, use the scale from the replica to the actual pyramid:
1 foot on the replica = 14 feet in reality
7 feet on the replica = 7 * 14 = 98 feet
Therefore, the actual height of the pyramid is 98 feet.