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You're locked out of your house and the only open window is on the second floor, 34 feet above the ground. You need to
borrow a ladder from one of your neighbors. There's a bush along the edge of the house, so you'll have to place the ladder
13 feet from the house. What length of ladder do you need to reach the window?

Respuesta :

musiclover10045

Use the Pythagorean theorem to solve.

Ladder = √(34^2 + 13^2)

= √(1156 + 169)

=√1325

= 36.4 feet

Round your answer as needed.

length of ladder needed ≈ 36. 4 feet

let's use a diagram to illustrate the question. The question will form a right angle triangle.

let

x = length of the ladder required

using Pythagoras's theorem

  • c² = a² + b²

where

c = hypotenuse

a and b are adjacent and opposite sides.

From our diagram, x is the hypotenuse and the length of the ladder required.

Therefore,

x² = 34² + 13²

x² = 1156 + 169

x² = 1325

x = √1325

x = 36.4005494464

x ≈ 36. 4 ft

length of ladder required = 36.4 feet

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