A ball is dropped from a height of 30 feet and each time it hits the ground it bounces 0.75 of the previous height. What is the height of the ball after it makes its third bounce? Round to the nearest hundredth of a foot

12.66 ft.

Step-by-step explanation:

30*.75 = 22.5

22.5*.75 = 16. 875

16.875*.75 = 12.65625

12.656 rounded to the nearest hundredth is 12.66

or...

since you write it as 30*.75*.75*.75, a faster way is

30*.75^3 = 12.66

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.