Question

Triangle 1 and triangle 2 are similar right triangles formed from a ladder leaning against a building.

Triangle 1 Triangle 2
The distance, along the ground, from the bottom of the ladder to the building is 12 feet. The distance from the bottom of the building to the point where the ladder is touching the building is 15 feet. The distance, along the ground, from the bottom of the ladder to the building is 8 feet. The distance from the bottom of the building to the point where the ladder is touching the building is unknown.

QUICK PLEASE
Determine the distance from the bottom of the building to the point where the ladder is touching the building for triangle 2.
6 feet
10 feet
15 feet
23 feet

Answer 1

Using the similar triangles property, we can set up the following proportion:

12 / 15 = 8 / x

where x is the unknown distance from the bottom of the building to the point where the ladder is touching the building for triangle 2.

Solving for x, we get:

x = 10

Therefore, the distance from the bottom of the building to the point where the ladder is touching the building for triangle 2 is 10 feet.

The answer is B. 10 feet.