Question

The height of the The Titan, the rollercoaster at Six Flags, is 245 feet. If Alexander uses a scale of 5 inches:
55 feet to make his scale model, how tall will the scale model be in inches?

Answer 1

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Here, Scale model is being used to have a rough idea about the structure of the rollercoaster and we know that it's impossible to draw the actual measure, so we use something standard for scaling.

Like here

• 5 inches means 55 feet of height

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According to question,

The height of the rollercoaster is 245 feet. Given, In the scale modelling 5 inches is 55 feet. We have to find the height of scale model in terms of considered scale.

⇛ 55 feet = 5 inches (In scale)

⇛ 1 feet = 5/55 = 1/11 inches (In scale)

Now for the total height of the rollercoaster, the height of the scale model will be:

⇛ 245 feet = 245 × 1/11 inches

⇛ 245 feet = 22.27 = 22.3 inches (approx.)

$\therefore$Thus, the required answer is Option D.

Answer 2

Step-by-step explanation:

Given : -

• The height of the The Titan, the rollercoaster at Six Flags, is 245 feet.

• If Alexander uses a scale of 5 inches:

• 55 feet to make his scale model,

To Find : -

• how tall will the scale model be in inches?

Solution : -

According to the Question :

Alexander uses a scale of 5 inches:

55 feet to make his scale model

Then ,

55 feet = 5 inches (In scale)

1 feet = 5/55

= 1/11

The height of the The Titan, the rollercoaster at Six Flags, is 245 feet.

So,

245 feet = 1/11 × 245

245 feet = 245/11

245 feet = 22.27 = 22.30

Answer is d = 22.3

More information : -

The ratio of the length in a drawing (or model) to the length on the real thing.

3 scales

• 1.large scale

• 2.medium scale

• 3.small scale