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

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Respuesta :

Simple....

assuming you have studied Pythagorean Theorem...

[tex]a^{2} + b^{2} = c^{2} [/tex]

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

the base is at 3 ft or b=3

You need to find a....

[tex] a^{2}+ 3^{2} = 12^{2} [/tex]

[tex] a^{2} +9=144 [/tex]
                  -9  -9

[tex] a^{2} =135[/tex]

Square root.....

[tex] \sqrt{135} =11.6[/tex]

You are measuring to the nearest tenth.

Thus, your answer....11.6 ft.