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You are creating a model of the Gareway arch. You decide to use a scale of 1/2 yd=1/4in. The Gateway Arch is 310 yards tall. How tall will your model need to be?

2 Answers

4 votes

Answer:

77.5

Step-by-step explanation:

User Brian Boatright
by
6.1k points
10 votes

Final answer:

The accurately represent the height of the Gateway Arch, the model will need to be 155 inches tall.

Step-by-step explanation:

To determine the height of the model, we need to use the scale ratio.

The scale ratio given is 1/2 yd = 1/4 in.

This means that for every 1/2 yard in the actual Gateway Arch, the model will represent 1/4 inch.

Since the height of the Gateway Arch is 310 yards, we can set up a proportion to find the height of the model. Let x represent the height of the model:

1/2 yd / 1/4 in = 310 yd / x in

To simplify this proportion, we can multiply both sides by 1/2 and 1/x:

1/4 in = (310/2) yd / x in

Now, we can cross-multiply and solve for x:

x = (1/4) * (x/ (310/2))

x = 155/yd

Therefore, the model will need to be 155 inches tall to accurately represent the height of the Gateway Arch.

User Atomix
by
6.7k points
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