Question

Phil's height is 51.2 cm, suzanne's height is 5'4", and suzanne's shadow lengthat gobblers knob is 76.2

Answer 1

`P_1 = 24cm`

Explanation:

Represent:

Phil's height with P

Suzanne's height with S

Phil's shadow with P1

Suzanne's shadow with S1

So, we have:

`P = 51.2cm`

`S = 5'4`

`S_1 = 76.2cm`

Required

Calculate the length of Phil's shadow --- Missing part of question

To do this, we make use of the following equivalent ratio.

`P:S = P_1 : S_1`

Convert
`S = 5'4` to cm

`S = 5ft\ 4in`

`S = (5*30.48+ 4*2.54)cm`

`S = 162.56cm`

Substitute values for P, S and S1

`51.2cm : 162.56cm = P_1 : 76.2cm`

Express as fraction

`(51.2cm)/(162.56cm) = (P_1 )/( 76.2cm)`

Make P1 the subject

`P_1 = 76.2cm * (51.2cm)/(162.56cm)`

`P_1 = 76.2cm * (51.2)/(162.56)`

`P_1 = (76.2cm * 51.2)/(162.56)`

`P_1 = (3901.44cm)/(162.56)`

`P_1 = 24cm`

Hence, the length of Phil's shadow is 24 cm