Felix built a ramp based on the scale drawing below. If the height of Felix's ramp is 6 inches from the ground, how long is the part of the ramp that is on the ground?

72 in

24 in

17 in

60 in

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

To find the length of the part of the ramp that is on the ground, we need to use similar triangles since the drawing is to scale.

In the scale drawing, the height of the ramp is 5 inches and the length on the ground is 17 inches.

Using the proportion:

Height / Length = 6 / x

5 / 17 = 6 / x

5x = 102

x = 102 / 5

x = 20.4 inches

Therefore, the length of the part of the ramp that is on the ground is approximately 20.4 inches.

The closest option is 24 inches.