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A building is 1 ft from an 8-ft fence that
surrounds the property. A worker wants
to wash a window in the building 11 ft
from the ground. He plans to place a
ladder over the fence so it rests against
the building. (See the figure.) He
decides he should place the ladder 8 ft
from the fence for stability. To the
nearest tenth of a foot, how long a
ladder will he need?

Sagot :

Caylusidn

Answer:

Hello,

Step-by-step explanation:

We are going to use the pythagorean's theorem

distance (building ,ladder)=1+8=9 (ft)

level of the window = 11ft

length of the ladder:

[tex]\sqrt{11^2+9^2} =\sqrt{202} =14.212670...\approx{14.2}[/tex]

Sanjibdas5930idn

Answer:

This question is mainly about pythagorean theorm as if we just analyse this question we see the information given to us are

  • The height of the building = 11 ft
  • The distance in between the fence and the building = 1 ft
  • The distance of ladder from the fence = 8 ft

Now it is said to find out the length of ladder as because the ladder is resting against the buiding so it will generally form an acute angle with the ground and as we can take the ladder to be as the hypotenuse of a right angled triangle in which the length of the perpendicular building forms one of the leg and the distance of the building from the point where the ladder is kept is said to be another leg

Now we get the measure of the vertical leg = height of the buiding = 11 ft

and another leg = distance in between the fence and the point on which the ladder is kept + the distance in between the fence and building

= (8+1)ft =9ft

Now we know hypotenuse = √base^2+√height^2

= √9^2+√11^2

= √81+√121

= √ 202

= 14.21 ft

Therefore the length of the ladder = 14.21 ft

Hope it helps you

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