Question

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared + h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?
11.5 feet
13.1 feet
14.6 feet
15.4 feet

Answer 1

Answer:

the answer is c on edge

Step-by-step explanation:

Answer 2

Answer:

The correct answer is C. 14.6 feet

Step-by-step explanation:

Information given to solve the case:

Length of the ladder = 15 feet

Distance from the base of the wall = 3.5 feet

Using the Pythagorean theorem for finding the height, because this is a right triangle:

h² = Length of the ladder ² - Distance from the base of the wall ²

h² = 15 ²  - 3.5 ²

h² = 225  - 12.25

h² = 212.75

h = √ 212.75

h = 14.59

h = 14.6 feet (Rounding to one decimal place)