Question

The height of a street light is 21 feet. It casts a 20−foot shadow. At the same time, a man standing next to the street light casts a 5−foot shadow. How tall is the man? If needed, round the answer to the nearest hundredth.

Answer 1

5.25 ft

just divide 20/5 and that equal 4. so to find the height of the man you divide 21 by 4

Answer 2

Answer:

The answer to your question is The man is 5.25 ft height

Step-by-step explanation:

Data

Height street light = 21 ft

Shadow street light = 20 ft

Shadow man = 5 ft

height man = ?

Process

1.- Use the Thales' theorem to solve this problem

               $\frac{21}{20} = \frac{h}{5}$

2.- Solve for h

              h = $\frac{5(21)}{20}$

3.- Simplify

              h = $\frac{105}{20}$

4.- Result

              h = 5.25 ft