Question

What is the actual height of the building shown in the model?

Answer 1

Answer:

The actual height is 150ft

Step-by-step explanation:

Given

$Width : Height = 2cm : 5cm$

$Actual\ width = 60ft$

Required

Determine the actual height

Substitute 60ft for width in: $Width : Height = 2cm : 5cm$

$60ft:Height =2cm:5cm$

Express as fraction

$\frac{60ft}{Height} =\frac{2cm}{5cm}$

$\frac{60ft}{Height} =\frac{2}{5}$

Make height the subject

$Height = \frac{5}{2} * 60ft$

$Height = 5 * 30ft$

$Height = 150ft$

Answer 2

Answer:

Step-by-step explanation:

1 cm represents 30 ft

height of building = 5 cm × 30 ft/cm = 150 ft