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

Answer:

$P_1 = 24cm$

Step-by-step 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

$\frac{51.2cm}{162.56cm} = \frac{P_1 }{ 76.2cm}$

Make P1 the subject

$P_1 = 76.2cm * \frac{51.2cm}{162.56cm}$

$P_1 = 76.2cm * \frac{51.2}{162.56}$

$P_1 = \frac{76.2cm * 51.2}{162.56}$

$P_1 = \frac{3901.44cm}{162.56}$

$P_1 = 24cm$

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