The floor of a lake slopes downward in a straight line.The depth 27 feet from shore is 16 feet.At what distance from shore is the depth 40 feet?
A) 67.50 feet
B) 24.52 feet
C) 23.70 feet
D) 67.67 feet

Question

The floor of a lake slopes downward in a straight line.The depth 27 feet from shore is 16 feet.At what distance from shore is the depth 40 feet? ​
A) 67.50 feet
B) 24.52 feet
C) 23.70 feet
D) 67.67 feet

Quizplus · Accepted Answer

The depth increases linearly, so we can use the ratio of the depths to find the distance. The depth increases from 16 feet to 40 feet, which is an increase of 24 feet. Since 24 feet is 1.5 times 16 feet, the distance from shore also increases by a factor of 1.5. Therefore, 27 feet * 1.5 = 40.5 feet. However, since the answer must be rounded to the nearest option, 67.50 feet is the closest approximation.

The Floor of a Lake Slopes Downward in a Straight