Q:

A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the bottom of the ladder? Round to the nearest tenth of a foot

Accepted Solution

A:
The bottom of the ladder is 10.5 feet away from the wallStep-by-step explanation:The given scenario forms a right triangle.WhereThe length of ladder will be the hypotenuseThe wall on which the window is situated will ebt he perpendicular andThe distance between the foot of ladder and the wall will be the baseSo,Hypotenuse = H = 20 footPerpendicular = P = 17 feetBase = B = ?Using the Pythagoras theorem[tex]H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5[/tex]The bottom of the ladder is 10.5 feet away from the wallKeywords: Triangle, Pythagoras TheoremLearn more about Pythagoras theorem at:brainly.com/question/9532142brainly.com/question/9590016#LearnwithBrainly