Approximately how much higher up the wall does the ladder in Figure 2 rest compared to the ladder in Figure 1?
A) 2 feet
B) 3 feet
C) 4 feet
D) 5 feet

Approximately how much higher up the wall does the ladder in Figure 2 rest compared to the ladder in Figure 1 A 2 feet B 3 feet C 4 feet D 5 feet class=

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Answer:

Answer B, 3 feet

Step-by-step explanation:

For the first ladder, the height of the ladder up the ladder can be found with the formula [tex]\sqrt{10^2-8^2}=6[/tex]. For the second ladder, you can use the same formula to find that the ladder is [tex]\sqrt{10^2-4^2}\approx 9[/tex]. 9-6=3, and therefore the correct answer choice is B.

1)

[tex] {x}^{2} = {10}^{2} - {8}^{2} \\ {x}^{2} = 36 \\ x = 6[/tex]

2)

[tex] {y}^{2} = {10}^{2} - {4}^{2} \\ {y}^{2} = 84 \\ y = \sqrt{84} \\ y = 2 \sqrt{21} \\ y = 9.165...[/tex]

Let's round y to 9

3)

9-6=3

Answer: B) 3 feet