Question

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

Answer 1

Explanation:

1 cm represents 30 ft

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

Answer 2

The actual height is 150ft

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

`(60ft)/(Height) =(2cm)/(5cm)`

`(60ft)/(Height) =(2)/(5)`

Make height the subject

`Height = (5)/(2) * 60ft`

`Height = 5 * 30ft`

`Height = 150ft`