Question

Approximately how much higher up the wall does the ladder in Figure 2 rest compared to the ladder in Figure 1?

Answer 1

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 $\sqrt{10^2-8^2}=6$. For the second ladder, you can use the same formula to find that the ladder is $\sqrt{10^2-4^2}\approx 9$. 9-6=3, and therefore the correct answer choice is B.

Answer 2

1)

${x}^{2} = {10}^{2} - {8}^{2} \\ {x}^{2} = 36 \\ x = 6$

2)

${y}^{2} = {10}^{2} - {4}^{2} \\ {y}^{2} = 84 \\ y = \sqrt{84} \\ y = 2 \sqrt{21} \\ y = 9.165...$

Let's round y to 9

3)

9-6=3

Answer: B) 3 feet