IDNLearn.com provides a seamless experience for finding the answers you need. Explore thousands of verified answers from experts and find the solutions you need, no matter the topic.
Sagot :
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:
https://brainly.com/question/2415994
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.
