Approximately, the distance between the cliff and the boat is 64 feet
Here, we want to calculate the distance between Caterina's boat and the cliff
From the question, we can have two similar right-angled triangles
The first is the one that the Cliff makes with the boat while the second is the one Caterina makes with the boat while standing on the cliff
The first smaller one measures;
35 ft by x ft (where x is the distance from the cliff to the boat
The second smaller one, measures
(35 + 5.5) by (10+x) feet
That would be 40.5 by (10+x) feet
If two traingles are similar, the ratio of their sides are equal
Thus, mathematically;