A building has a shadow that is 18 feet long. Will is 5 feet tall, and he is standing next to the building. Will has a shadow that is 3 feet long. Use this information to complete the statement about the building.

Respuesta :

Answer:

the answer is 30 feet



Answer:

The height of the building is [tex]30\ ft[/tex]

Step-by-step explanation:

Let

x--------> the height of the building

y------> the long of the shadow of the building

m----> the height of Will

n-----> the long of the shadow of Will

we know that

By proportion

[tex]\frac{x}{y}=\frac{m}{n}[/tex]

we have

[tex]y=18\ ft[/tex]

[tex]m=5\ ft[/tex]

[tex]n=3\ ft[/tex]

substitute the values

[tex]\frac{x}{18}=\frac{5}{3}[/tex]

[tex]3*x=18*5[/tex]

[tex]x=30\ ft[/tex]


ACCESS MORE
EDU ACCESS
Universidad de Mexico