The top of the sail of a sailboat is 39 1/3 feet above water level, and the bottom of the boat is at an elevation of -6 1/4 feet relative to water level. Which of the following is true about the height from the bottom of the boat to the top of the sail?
To find the height from the bottom of the boat to the top of the sail, we need to subtract the elevation of the boat from the height of the sail.
The height of the sail is given as 39 1/3 feet above water level, and the elevation of the boat is given as -6 1/4 feet relative to water level.
To subtract mixed numbers, we first need to make them have the same denominator.
The fraction part of 39 1/3 can be written with a denominator of 4 as (39/3) x (4/4) = 156/12.
Now we can subtract:
156/12 - 6 1/4 = (156/12) - (25/4) = (156/12) - (75/12) = 81/12.
So the height from the bottom of the boat to the top of the sail is 81/12 feet.
Therefore, the only true statement about the height from the bottom of the boat to the top of the sail is that it is equal to 6 3/4 feet.
wrong
I apologize for the error in my previous response.
To find the height from the bottom of the boat to the top of the sail, we need to find the difference between the height of the sail and the elevation of the boat.
The height of the sail is given as 39 1/3 feet above water level. Converting this mixed number to an improper fraction:
39 1/3 = (39 x 3 + 1) / 3 = 118 / 3.
The elevation of the boat is given as -6 1/4 feet relative to water level. Converting this mixed number to an improper fraction:
-6 1/4 = (-6 x 4 + 1) / 4 = -25 / 4.
Now we can subtract:
118 / 3 - (-25 / 4) = 118 / 3 + 25 / 4.
To add fractions, we need to have the same denominator. The least common denominator (LCD) of 3 and 4 is 12.
Converting both fractions to have a denominator of 12:
(118 / 3) x (4 / 4) = 472 / 12,
(25 / 4) x (3 / 3) = 75 / 12.
Now we can add these fractions:
472 / 12 + 75 / 12 = (472 + 75) / 12 = 547 / 12.
So, the height from the bottom of the boat to the top of the sail is 547/12 feet.
Therefore, the only true statement about the height from the bottom of the boat to the top of the sail is that it is equal to 547/12 feet.