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Ede4ka [16]
2 years ago
12

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

Mathematics
1 answer:
8090 [49]2 years ago
6 0

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

<em>Hence, the length of Phil's shadow is 24 cm</em>

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Step-by-step explanation:

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