Question

I need the answer in a fraction if possible

Answer 1

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