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Answer:
At the end of 6 hours, 6 feet of the ladder remained above water
Explanation:
we are given the following:
change in tide = 8 inches per hour
1 hour = 8 inches
∴ 6 hours = 8 × 6 = 48 inches
Now, since the length of the ladder is measured in foot, let us convert the rate of tide rising to foot.
12 inches = 1 foot
dividing both sides by 12:
Therefore, after 6 hours, the tide rises by 2 feet.
Next, we are told that the rope ladder at the beginning was 8 feet, hence the length remaining above water after 6 hours of the rising of the tide is calculated as follows:
= 8 feet above water
height of tide = 2 feet = amount submerged in water
∴ length above water = (ladder before rising of the tide) - (amount submerged in water)
length above water = 8 - 2 = 6 feet
Therefore at the end of 6 hours, 6 feet of the ladder remained above water