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 feet
B 98 feet
C 49 feet
D 91 feet
To find the height of the actual pyramid, we first need to convert the height of the pyramid in the drawing from inches to feet.
3 1/2 inches can be converted to 3.5 inches = 3.5/12 feet = 0.2917 feet
Now, we can use the scales provided to find the height of the actual pyramid:
1 inch on the drawing = 2 feet of the replica
3.5 inches on the drawing = 7 feet of the replica
1 foot of the replica = 14 feet of the actual pyramid
7 feet of the replica = 7 * 14 feet = 98 feet
Therefore, the height of the actual pyramid is 98 feet.
So the answer is: B) 98 feet.