Mr. Math is 6 feet tall and cast a shadow of 5 feet. If a flagpole cast a shadow of 27 feet, how tall is the flagpole?

32.4 ft

Step-by-step explanation:

See the attachment.

Clearly, Mr. Math and his shadow create a right triangle, as do the flagpole and its shadow. These triangles are similar, which means corresponding sides are in the same ratio.

Mr. Math's height of 6 ft corresponds to the flagpole's height of x ft (we want to find x). Mr. Math's shadow of 5 ft corresponds to the flagpole's shadow of 27 ft. So, set up the proportion:

Cross-multiply:

5x = 6 * 27 = 162

x = 162/5 = 32.4 ft

32.4 feet

Step-by-step explanation:

Height and length of the shadow would be in the same ratio

6 : 5

X : 27

6/5 = X/27

X = 27 × 6/5

X = 32.4

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.