Question

23

Here is a scale drawing.
The Ferris wheel has a height of 134 m
Work out the height of the building.
3.25 cm
0.65 cm
Ferris wheel
Building
Total marks: 3

Answer 1

Actual height of the building is 670 m

Explanation:

We have been the actual height of a Ferris wheel which is 134 m. Along with it we are also given the scaled down heights of a Ferris wheel and a building. Using this data we have to find the actual height of a building.

Actual height of Ferris wheel = 134 m.

Height of Ferris wheel using the scale = 0.65 cm

Height of building after using the scale - 3.25 cm

Let, the actual height of building be x meters.

Since, the same scale is being used, the ratio of actual heights to that of scaled down heights must be the same for both objects.

i.e.

Ratio of Actual Height to scale height of Ferris Wheel = Ratio of Actual Height to scale height of the building

Using the values, we get:

`134:0.65 =x:3.25\\\\(134)/(0.65)=(x)/(3.25)\\\\ (134)/(0.65) * 3.25 = x\\\\ x=670`

The units of actual heights are in meters, so this means the actual height of the building is 670 m