Question

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

Answer 1

The units of actual heights are measured in meters, thus we can say that the actual height of the building is 670 m

Explanation:

Step 1

In the question it has been given that

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

Step 2

Let us assume that the actual height of building be x meters.

Since, we are making use of the same scale, the ratio of actual heights to that of scaled down heights is the same for both objects.

It means that ,

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

Step 3

Substituting the values, we get:

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

Step 4

Thus we can say that the actual height of the building is 670 m