Question

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Answer 1

Answer:

14.4 ft

Step-by-step explanation:

The triangles formed by both ladders are similar to each other. Therefore, each corresponding sides will be proportional.

Thus, x + 8 would represent how far up the 10-foot ladder reaches the wall.

Therefore:

18/10 = (x + 8)/8

9/5 = (x + 8)/8

Cross multiply

9*8 = 5(x + 8)

72 = 5x + 40

72 - 40 = 5x

32 = 5x

Divide both sides by 5

32/5 = x

x = 6.4

The 10-foot ladder would be, 6.4 + 8 = 14.4 ft far up the wall.