Question

A farmer leans a 12-ft ladder against a barn. The base of the ladder is 3ft from the barn. To the nearest tenth, how high on the barn does the ladder reach? F. 9.2ft G. 10.8ft H.11.6ft I.13.4ft

Answer 1

Simple....

assuming you have studied Pythagorean Theorem...


`a^(2) + b^(2) = c^(2)`

If it leans 12 ft...then c=12

the base is at 3 ft or b=3

You need to find a....


`a^(2)+ 3^(2) = 12^(2)`


`a^(2) +9=144`
-9 -9


`a^(2) =135`

Square root.....


`√(135) =11.6`

You are measuring to the nearest tenth.

Thus, your answer....11.6 ft.