Question

Answer for 5 stars answer and a heart with a comment. Please hurry!

Here is a diagram of a person standing next to a lorry.

The diagram shows two centimetre rulers.

The person and the lorry are drawn to the same scale.

The lorry is approximately 9.5 m in length.

Using the scale diagram, estimate the height of the person in metres.

Answer 1

Length of the person = 1.9 m

Explanation:

Actual length of the lorry = 9.5 m

Length of the lorry as per scale = 10 cm

Scale factor used to get the actual length of the lorry =
`\frac{\text{Actual length}}{\text{Length on scale}}`

=
`(9.5)/(10)`

= 0.95 : 1

Let the actual length of the person = x meters

Length of the person as per scale = 2 cm

Scale factor used to get the length of person is same.

Therefore, relation between the actual length of the person and scale length will be,

`(x)/(2)= (0.95)/(1)`

x = 2 × 0.95

x = 1.9 meters