Answer:
Step-by-step explanation:
It is a ratio. Set it up like fractions. Dom's height over his shadow and his son's height over his shadow. 72/60:x/50
We don't know the son's height, so we substitute with 'x'.
Now reduce the first fraction. 72/60
What number goes into both? A factor tree will show that 12 will go into both, so divide top and bottom by 12.
72 divided by 12 =6 and 60 divided by 12 =5. So, now our ratio looks like:
6/5 : x/50 Find out how many times 5 goes into fifty. Answer is 10. You have to multiply 5 by 10 to get to 50, so you have to multiply 6 by 10 to get to x.
6 time 10 = 60
Dominic's son is 60minches tall.
The son is 60inches tall.
Given the following:
Height of Dominic =72 in
Distance of shadow cast = 60 inches
Height of the son = x
Distance of show cast = 50 inches
To get the height of the son, we will use the similarity theorem as shown:
[tex]\frac{72}{60}= \frac{x}{50}\\Cross \ multiply\\60x = 72 \times 50\\60x = 3600\\x=\frac{3600}{60}\\x = 60in[/tex]
Hence the son is 60inches tall.
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