Answer:
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:
[tex]\frac{6}{x} =\frac{5}{27}[/tex]
Cross-multiply:
5x = 6 * 27 = 162
x = 162/5 = 32.4 ft
