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?

WHICH TRIANGLE A,C, OR D

Answer 1

Option A is correct.

triangle with light blue color

Explanation:

As per the statement:

Ilya builds a slide that is 2.9 meters long.

⇒
`\text{Length of ladder} = 2.9 m`

It is also given that 1.5 meters above the ground.

Since, this height is perpendicular from the ground level.

⇒
`\text{Vertical height from the ground level} = 1.5 m`

As, he wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide.

Therefore, the diagram in option A (with light blue color) represents the given situation as shown below in the attachment.

Answer 2

The answer is the first diagram (light blue color in the choices) where 2.9m is the hypotenuse or the longest length. The height of the altitude is 1.5 meter and it is perpendicular from the ground level. The angle opposite to 2.9m is 90°.