Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then answer the question. Suppose a baseball is thrown at 82 miles per hour. The ball will travel 352 feet when hit by a bat swung at 53 miles per hour and will travel 448 feet when hit by a bat swung at 77 miles per hour. Let y be the number of feet traveled by the ball when hit by a bat swung at x miles per hour. How much farther will a ball travel for each mile-per-hour increase in the speed of the bat?

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.