A meter 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?

Question

Mathematics

Liliana Huerta

11 September, 07:37

A meter 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?

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Answers (1)

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Lance Delgado · Answer 1

These two triangles are similar, so their ratios are equal.

7.7 / 1.4 = x / 1, where x = the flagpole length

multiply by one and simplify

x = 7.7 / 1.4