contestada



324 ft

Flagpole

shadow

40 ft

The diagram above shows a 40-foot flagpole and its shadow in relation to a nearby building that is

324 feet tall. If the flagpole's shadow is 50% longer than the flagpole itself, how far is the

building from the flagpole?

Respuesta :

MrRoyal

The distance between the flagpole and the building is the number of feet between them

The building is 162 feet from the flagpole

How to determine the distance

The given parameters are:

  • Flagpole = 40 feet
  • Building Shadow = 324 feet

The flagpole's shadow is 50% longer than the flagpole.

So, the length (l) of the flagpole's shadow is:

[tex]l = 40 * (1 + 50\%)[/tex]

[tex]l = 60[/tex]

The length of the building's shadow (d) is then calculated as:

[tex]60 : 40 =d : 324[/tex]

Express as fraction

[tex]\frac{60}{40}= \frac{d}{324}[/tex]

[tex]1.50 = \frac{d}{324}[/tex]

Solve for d

[tex]d = 1.50 * 324[/tex]

[tex]d = 486[/tex]

The distance (x) of the building from the flagpole is then calculated as:

[tex]x = 486 - 324[/tex]

[tex]x = 162[/tex]

Hence, the building is 162 feet from the flagpole

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