# Algebra

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Ameter stick casts a shadow 1.4 m long at the same time a flagpole casts a shadow 7.7 m long. The triangle formed by the meterstick and its shadow is similar to the triangle formed by the flagpole and its shadow. How tall is the flagpole?

• Algebra -

1.4/1 = 7.7/x
1.4x = 7.7
x = 7.7/1.4
x = 5.5

• Algebra -

Sam is 4 feet tall and his shadow is 2.5 feet long. If the flagpole has a 30-foot shadow, how tall is the flagpole?

• Algebra -

X over 4 = 30 over 2.5
2.5x= 4•30
----- = 120 divided by 2.5
X = 48 feet

The flagpole is 48 feet tall.

• Algebra -

7.7 divided by 1.4 = 5.5m

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