A 6-foot tall man is standing in front of a school and notices his shadow measures 10 feet. At the same time, he notices the flag pole casts a shadow that measures 85 feet. How tall is the flagpole?

A. 51 ft
B. 100 ft
C. 14.7 fr
D. 127 ft

Respuesta :

Answer:

The tall of the flag pole is 51 ft answer (A)

Step-by-step explanation:

∵ The tall of the man = 6 ft

∵ The his shadow = 10 ft

∵ The shadow of the flag pole = 85 ft

∵ Tall of the man/tall of the flag = shadow of the man/shadow

   of the flag

∴ 6/x = 10/85 ⇒ where x is the tall of the flag

∴ x = (6 × 85) ÷ 10 = 510 ÷ 10 = 51 ft

∴ The tall of the flag pole is 51 ft

The answer is A. The flagpole is 51feet.