Aball is dropped from a height of 10 meters. each time it bounces, it reaches 50 percent of its previous height. the total vertical distance the ball has traveled when it hits the ground the fifth time is meters.

A ball falls from the height of 10 m.

1st bounce: 0.5 * 10 = 5 m

2nd bounce: 5 * 0.5 = 2.5 m

3rd bounce: 2.5 * 0.5 = 1.25 m

4th bounce: 1.25 * 0.5 = 0.625 m

After that the ball hits the ground the 5th time.

Total distance:

10 + ( 5 * 2 ) + ( 2.5 * 2 ) + ( 1.25 * 2 ) + ( 0.625 * 2 ) =

= 10 + 10 + 5 + 2.5 + 1.25 = 28.75 m

The total vertical distance the ball has traveled when it hits the ground the 5th time is 28.75 m.

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.