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Firefighters just arrived at the Farquand building with a rescue truck. Mr. Farquand is stuck on a window ledge 44 feet directly above the top of the truck. The base of the ladder is a horizontal distance of 33 feet away from the building. Using the Pythagorean Theorem, determine how long the ladder must extend to reach Mr. Farquand.

Respuesta :

MrRoyal

Answer:

The length of the ladder must be 5ft

Step-by-step explanation:

Given

[tex]Height = 4ft[/tex] --- H

[tex]Base = 3ft[/tex] ---- B

Required

Determine the length of the ladder (L)

It'll be assumed that the ladder is on the truck

So, the length of the ladder forms the hypothenuse

Using Pythagoras:

[tex]L^2 = H^2 + B^2[/tex]

Substitute values for H and B

[tex]L^2 = 4^2 + 3^2[/tex]

[tex]L^2 = 16 + 9[/tex]

[tex]L^2 = 25[/tex]

Take square root of both sides

[tex]L = \sqrt{25[/tex]

[tex]L= 5[/tex]

Hence:

The length of the ladder must be 5ft

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