Question
Quantitative Ability and Data Interpretation Question on Geometry
Two lighthouses, located at points A and B on the earth, are 60 feet and 40 feet tall respectively. Each lighthouse is perfectly vertical and the land connecting A and B is perfectly flat. The topmost point of the lighthouse at A is A’ and of the lighthouse at B is B’. Draw line segments A’B and B’A, and let them intersect at point C’. Drop a perpendicular from C’ to touch the earth at point C. What is the length of CC’ in feet?
A
20
B
25
C
30
D
24
E
The distance between A and B is also needed to solve this
Answer
24
Explanation
Solution
The correct option is (D): 24.