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A 32 ft ladder liens against a building so that the top of the ladder touches the building at a point 23 ft above the ground. To the nearest 10th of a foot how far from the bottom of the building is the bottom of the ladder

A. 27.5 ft
B. 39.4 ft
C. 22.2 ft
D. 30.1 ft

Okay so I’m thinking between C and B. I’m more so C because I did 32 as c and 23 as be so... or it could be the other way around

I just know it’s Pythagorean theorem help. Sending stars

1 Answer

2 votes
base = 23^2 + b^2 = 32^2
529 + b^2 = 1024

b^2 = 1024 -529 = 495
b = sqrt(495) = 22.24

Answer = C. 22.2 ft
User Guy Mograbi
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