Answer:
12 ft 9 5/6 inches
Step-by-step explanation:
We can use proportions to solve this. Put the height of the object over the shadow. Change the height of the object to inches
Alonzo
5 ft 11 inches = 5 ft *12 inches/ft + 11 inches = 60 inches + 11 inches = 71 inches
2 ft shadow = 2* 12 inches/ ft = 24 inches
Basketball goal
4 ft 4 inches = 4 ft *12 inches/ft + 4 inches = 48inches + 4 inches = 52 inches
Alonzo Basketball
71 inches x inches tall
------------ = --------------------
24 inches 52 inches
Using cross products
71*52 = 24*x
Divide each side by 24
71*52/24 = 24x/24
923/6 =x
Lets change this to a mixed number
6 goes into 923 153 times with 5 left over
153 5/6 inches
Now we need to change inches to feet
How many time does 12 go into 153 12 times (12*12 =144 with 9 left over)
12 ft 9 5/6 inches
