Question

A window washer has an 18-ft ladder. He needs to reach the bottom of a window 16 feet off the ground. How far outfrom the building should the base of the ladder be?O 8.2568O24.104

Answer 1

Given- A window washer has an 18-ft ladder. He needs to reach the bottom of a window 16 feet off the ground.

Required- To find out How far out from the building should the base of the ladder be.

Explanation- The given problem can be considered by drawing out a right angle triangle as follows-

Suppose the base of the triangle is x ft.

Applying Pythagoras theorem to the above right angled triangle we get,

`(18)^2=(16)^2+(x)^2`
`\begin{gathered} 324=256+x^2 \\ x^2=324-256 \\ x^2=68 \\ x=√(68) \\ x=8.246\text{ ft} \end{gathered}`

Final Answer- The correct option is option A