Answer: The distance is 7 feet (approximately)
Step-by-step explanation: Please refer to the attached diagram for details.
If the kite has a string 24 feet long, represented by line AC, and it rises at an angle of elevation of 17 degrees, then the kite is currently at point A and it rose up from point B. (Note that the person holding the kite is at point C).
Therefore, to calculate the distance from the kite’s original position to its new position, we calculate the line AB. The reference angle is angle C which is 17 degrees. The hypotenuse is 24 while line AB also labeled c is the opposite. We shall use the trigonometric ratio
SinC = opposite/hypotenuse
Sin 17 = c/24
By cross multiplication we now have
Sin 17 x 24 = c
0.2924 x 24 = c
7.0176 = c
Approximately, c = 7 feet.
