Answer :
This problem creates a right Triangle
the building is one side and the 4ft is the other side
the ladder is the hypotenuse
apply the Pythagorean Theorem'a^2 + b^2= c^2
4^2 + b^2 = 14^2
16+ b^2= 195
b^2= 180
b= square root of 180
b= 6 square root of 5
or 13.42
The distance between the building and the top of the ladder is about 13.42 feet.
Important information:
- Size of ladder = 14 foot
- Distance between building and base of ladder = 4 feet
We need to find the distance between the building and the top of the ladder.
Pythagoras Theorem:
Let [tex]x[/tex] be the distance between the building and the top of the ladder. Then, using the Pythagoras theorem, we get
[tex]x^2+(4)^2=(14)^2[/tex]
[tex]x^2=196-16[/tex]
[tex]x=\sqrt{180}[/tex]
[tex]x\approx 13.42[/tex]
Therefore, the distance between the building and the top of the ladder is about 13.42 feet.
Find out more about 'Pythagoras Theorem' here:
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