Two ladders are leaning against a wall at the same angle, as shown. How long is the shorter ladder? picture attached

Question

anonymous · Answer

attachment

jim_thompson5910 · Answer

The two triangles are similar since they are a) right triangles and b) they are leaning at the same angle

jim_thompson5910 · Answer

so we can say

(length of longer ladder)/(height of longer ladder) = (length of shorter ladder)/(height of shorter ladder)

78/60 = x/20

Solve for x...

78/60 = x/20

78*20 = 60x

1560 = 60x

1560/60 = x

26 = x

x = 26

So the length of the shorter ladder is 26 ft

anonymous · Answer

great way to explain it thank u i finally get it!

jim_thompson5910 · Answer

alright that's great :)