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

Zachery Hamilton

2 May, 06:38

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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Anaya Marks · 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