A street sign casts a 12-foot 9-foot shadow. The lamppost next to it cast a 24-foot shadow. How tall is the lamppost?

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Answer 1 · 2018-02-01T02:03:39

The lamp post is #color(green)32'# tall.

12' street sign casts a shadow of 9'.

To find the height of the lamp post, with its shadow 24'

Since both the shadows are 9 : 24, the heights will be in x : 12, where x is the height of the lamp post.

# x / 12 = 24 / 9#

#x = (24 * 12) / 9#

#x = ((8 * cancel3) * (4 * cancel3)) / cancel9 = 32'#