Justin made a scale drawing of a sailboat he saw at the harbor. The length of the actual boat is 24 feet, and the mast is 20 feet high. In justin's sketch, the boat is 2 centimeters longer than the mast. What is the length of the boat on his sketch?

Respuesta :

Answer:

The length of the boat on his sketch is [tex]12\ cm[/tex]

Step-by-step explanation:

Let

x------> the length of the boat on his sketch

y-----> the high of the mast on his sketch

we know that

[tex]\frac{x}{y}=\frac{24}{20}=1.2[/tex]

[tex]x=1.2y[/tex] -----> equation A

[tex]x=2+y[/tex] ----> equation B

equate equation A and equation B

[tex]1.2y=2+y[/tex]

[tex]1.2y-y=2[/tex]

[tex]y=10\ cm[/tex]

Find the value of x

[tex]x=2+y[/tex] ------> [tex]x=2+10=12\ cm[/tex]

Answer:

the length of the boat on his sketch is 12 cm

Step-by-step explanation:

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