Question

A six feet-tall person is standing next to a flag pole.The person is casting a shadow 1 1/2 feet in length,while the flagpoleis casting a shadow5 feet in length.How tallis the flag pole

Answer 1

Answer:

20 feet

Step-by-step explanation:

Consider the given pictorial representation below,

The Height of the Pole =|AB|

The Height of the Person =|DE|

Shadow cast by the Pole =|AC|

Shadow cast by the Person =|EC|

Triangles ABC and DEC are similar triangles therefore,

$\frac{|DE|}{|AB|} =\frac{|EC|}{|AC|}$

$\frac{6}{x} =\frac{1.5}{5}$

Cross multiplying

x X 1.5 = 6 X 5

x=30/1.5 =20 feet

Height of the flag pole = 20 feet