Question

A ladder is leaning against a building as shown in the

diagram.
How many feet up the side of the building is the top of
the ladder?
ft
10 feet
6 feet

Answer 1

The top of the ladder is approximately 10/3 feet up the side of the building.

Step-by-step explanation:

To find the distance up the side of the building, we can use the concept of similar triangles. The ladder forms a right triangle with the side of the building. Let x be the distance up the side of the building. Using the given information, we can set up the following proportion:

(6 m) / (x m) = (2 m) / (10 m)

Cross-multiplying, we get:

6x = 20

Simplifying, we find:

x = 20/6 = 10/3 feet

So, the top of the ladder is approximately 10/3 feet up the side of the building.