The string of a kite is 24 feet long. The wind blows the kite upward at an angle of 17 degrees from its current position. What is the distance from the kite’s original position to its new position after the wind blows it. Step by Step explanation.. Please

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.

c

step-by-step explanation:

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680