Question

ilya builds a slide that is 2.9 meters long. it is 1.5 meters above the ground. he wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. which diagram represents this situation?

Explanation:

Step1: Analyze the problem

We need to find the diagram that represents the situation where the slide is the hypotenuse (\(2.9\) m), the height above the ground is one leg (\(1.5\) m), and the distance from the bottom of the slide to the base of the ladder is the other leg.

Step2: Check the orientation of the right - angled triangle

In a right - angled triangle representing this situation, the two legs are the height (\(1.5\) m) and the base (distance we want to find), and the hypotenuse is the slide (\(2.9\) m). The first diagram has the legs \(1.5\) m and \(2.9\) m with the right - angle, which is incorrect as the slide should be the hypotenuse. The second diagram has the hypotenuse as \(1.5\) m which is wrong. The third diagram has the hypotenuse as \(2.9\) m, one leg as \(1.5\) m (height), and the other leg (base) which is what we need. The fourth diagram has the legs \(1.5\) m and \(2.9\) m with the right - angle in the wrong orientation for the described situation.

Answer:

The third diagram.