The scale statement for the height of a building is 1:59. If a model of the building is 46 cm tall, how tall is the building?

Question

The scale statement for the height of a building is 1:59. If a model of the building is 46 cm tall, how tall is the building?

21.7 m

1.3 m

27.1 m

32.5 m

Answer 1

To determine the height of the building, we need to set up a proportion using the scale statement.

Let's set up the proportion:

1 cm / 59 cm = 46 cm / x

To solve for x, we cross multiply:

1 * x = 59 * 46

x = 2704 cm

Since the question is asking for the height in meters, we need to convert the cm to meters:

2704 cm / 100 = 27.04 m

Therefore, the height of the building is approximately 27.1 m.