contestada


3. Jeff is at the position marked X and wants to find the height of the tower shown. Viewing from the ground
he positions himself so that the top of the flagpole is directly in his line of sight to the tower. The flagpole is
known to be 18 feet tail. Jeff is 20 feet from the
flagpole and the flagpole is 40 feet from the tower.
How tall be the tower?

Respuesta :

MrRoyal

The tower, the flagpole and Jeff's position form similar triangles

The tower is 54 feet's tall

How to determine the height of the tower

Using the attached figure as an illustration, we have the following highlights

  • Height of the flagpole, CD = 18
  • Height of the tower, h
  • Jeff's distance from the flagpole, CE = 20
  • The flagpole's distance from the tower, BC = 40

So, we have the following equivalent ratios

[tex]AB:BE = CD:CE[/tex]

Where:

BE = BC + CE

So, we have:

[tex]AB:BC + CE = CD:CE[/tex]

This gives

[tex]h:40 + 20 = 18:20[/tex]

[tex]h:60 = 18:20[/tex]

Express as fraction

[tex]\frac{h}{60} = \frac{18}{20}[/tex]

[tex]\frac{h}{60} = 0.9[/tex]

Multiply through by 60

[tex]h= 54[/tex]

Hence, the tower is 54 feet's tall

Read more about similar triangles at:

https://brainly.com/question/14285697

Ver imagen MrRoyal

Otras preguntas