Final answer:
The actual height of the building, using the scale 1:60 where the model is 50 cm tall, is 30 meters. We compute this by multiplying the model height by the scale factor and converting the result to meters.
Step-by-step explanation:
To determine the actual height of a building where the scale statement is 1:60 and the model is 50 cm tall, we need to multiply the model height by the scale factor. The scale statement 1:60 means that 1 unit on the model is equivalent to 60 units on the actual building. Therefore, we calculate the actual height by multiplying the model height (50 cm) by the scale factor (60).
Actual height = model height × scale factor = 50 cm × 60 = 3000 cm
To convert centimeters to meters, we recall that 100 centimeters are in 1 meter. Thus:
Actual height in meters = 3000 cm ÷ 100 cm/meter = 30 meters
The correct answer is b. 30 m