Final answer:
The kite is approximately 237.33 feet above the ground and the string length is roughly 380 feet between Franklin's hands and the kite.
Step-by-step explanation:
The subject of this question is Mathematics, specifically within the context of geometry and algebra, as it involves calculating the height of the kite above the ground and the length of the string based on the given slope.
To determine the height of the kite above the ground, we'll use the slope of the string (rise over run), which is the ratio of the vertical change to the horizontal change between two points on a line. Since the slope is 7/3 and Franklin's hands are 4 feet above the ground, the vertical height (rise) the kite is above Franklin's hands can be found by multiplying the horizontal distance (run) by the slope: Height = Slope × Horizontal distance = 7/3 × 300 feet. To find out how high the kite is above the ground, we add the height above Franklin's hands to the height of Franklin's hands themselves: Total height = Height + Franklin's hand height.
To find the string length, we need to calculate the hypotenuse of a right triangle whose legs are the height of the kite above Franklin's hands and the horizontal distance from Franklin's hands to the kite. We can use the Pythagorean theorem: String length = √(Height² + Horizontal distance²).
After performing these calculations, we can determine that the correct answer is Option C: The kite is 700/3 or approximately 233.33 feet plus 4 feet = 237.33 feet above the ground, and the string length is √((700/3)² + 300²) feet, which is roughly 380 feet between the kite and Franklin's hands.