Answer :
Final answer:
To reach a height of 8 feet on the wall, Benton would need to use a ladder length of approximately 4.8 feet.
Explanation:
To determine which ladder length Benton would need to use to reach the desired height of 8 feet on the wall, we can use the concept of similar triangles. The distance from the base of the ladder to the wall is 6 feet and the height Benton wants to reach on the wall is 8 feet. Let x represent the length of the ladder needed. Using the properties of similar triangles, we can set up the following proportion:
(x)/(6) = (8)/(10)
Cross multiplying gives us:
x = (6 * 8) / 10 = 4.8
Therefore, Benton would need to use a ladder length of approximately 4.8 feet to reach a height of 8 feet on the wall. Since this length is not among the options provided, the correct answer is C. None of these ladder lengths would reach this height.
