Feliz 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.

Feliz built a ramp based on the scale drawing below If the height of Felixs ramp is 6 inches from the ground How long is the part of the ramp that is on the gro class=

Respuesta :

We have been given that Feliz built a ramp based on the scale drawing below. If the height of Felix’s ramp is 6 inches from the ground. We are asked to find the length of part of the ramp that is on the ground.

We will use proportions to solve our given problem.

[tex]\frac{\text{Length of part on ground}}{\text{Part above ground}}=\frac{12\text{ inch}}{1\text{ inch}}[/tex]

[tex]\frac{\text{Length of part on ground}}{\text{6 inch}}=\frac{12\text{ inch}}{1\text{ inch}}[/tex]

[tex]\frac{\text{Length of part on ground}}{\text{6 inch}}\cdot \text{6 inch}=\frac{12\text{ inch}}{1\text{ inch}}\cdot \text{6 inch}[/tex]

[tex]\text{Length of part on ground}=\frac{12\text{ inch}}{1}\cdot \text{6}[/tex]

[tex]\text{Length of part on ground}=72\text{ inch}[/tex]

Therefore, the part of the ramp that is on the ground is 72 inches.

Given the scale drawing and applying proportion, the length of the part of the ramp that is on the ground is calculated as 72 inches.

Recall:

In a scale drawing, proportion can be used to find actual measurements.

Given:

height of Felix's ramp = 6 inches

height on scale drawing = 1 inches

Length of ramp on the ground = x = ?

length of ramp on scale drawing = 12 inches

Thus, the following proportion can be created:

6 = 1

x = 12

  • Cross multiply

x = (6×12)/1

x = 72 inches

Therefore, given the scale drawing and applying proportion, the length of the part of the ramp that is on the ground is calculated as 72 inches.

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