Question

please answer someone!! I need this asap!!!​This is in similarity! I need to find the lengths marked by the letter

Answer 1

`H = 59.4`

Explanation:

The question is an illustration of dilation.

From the small shape, we have:

`Body = 3`

`Height = 2.2`

From the big shape, we have:

`Body = 81`

Height = ??

Because it is a dilation, the ratio of the bodies must be equal to the ratio of the heights

i.e.

`Body_(Small) : Body_(Big) = Height_(Small) : Height_(Big)`

Substitute the right values

`3 : 81 = 2.2 : H`

Express as fraction

`(3)/(81) = (2.2)/(H)`

`(1)/(27) = (2.2)/(H)`

Make H the subject

`H = 2.2 * 27`

`H = 59.4`

Hence, the height of the big shape is 59.4 units