Question

a 25-foot long ladder is propped against a wall at an angle of 18° with the wall. which diagram correctly represents this scenario? four diagrams with right triangles, ladders, angle 18°, and length 25 are shown, each with a radio button below

Explanation:

Step1: Analyze the angle's position

The ladder is at an angle of \(18^\circ\) with the wall. So the angle should be between the ladder (hypotenuse, length 25) and the wall (one leg of the right triangle).

Step2: Evaluate each diagram

• First diagram: Angle is between ladder and ground, not wall. Incorrect.
• Second diagram: Angle is between ladder and wall (the vertical side), ladder length is 25. Matches the scenario.
• Third diagram: The 25 is on the ground, not the ladder. Incorrect.
• Fourth diagram: Angle is between ladder and ground, and 25 is ladder but angle position wrong. Incorrect.

Answer:

The second diagram (with \(18^\circ\) between ladder and wall, ladder length 25)