Answer:
Trents estimate is incorrect
67 1/4 ft
Explanation:
The fishing rod is 53 3/4 ft above water : +53 3/4
The hook is 12 2/3 ft below the surface of the water : - 12 2/3
The distance between the two is
53 3/4 - (-12 2/3)
53 3/4 + 12 2/3
Add the whole number
53 +12 = 65
Add the fractions
3/4 +2/3
We know this is greater than 1
The distance between the rod and the hook is greater than 66 ft
Trents estimate is incorrect
B. The lets the hook drop 10 more inches
First lets calculate the actual distance before dropping the hook
53 3/4 + 12 2/3
65 3/4 +2/3
Getting a common denominator
65 3/4*3/3 + 2/3 *4/4
65 9/12 + 8/12
65 +17/12 ft
65 + 1 +5/12 ft
66 5 /12 ft
He drops it 10 more inches, so we need to add 10 inches to the distance
Changing that to feet
10 inches * 1 ft/12 inches = 10/12 inches
66 5/12 ft + 10 /12 ft
66 15 /12 ft
66 + 1 + 3 /12 ft
67 + 3 /12 ft
67 + 1/4 ft
67 1/4 ft