If a 30-foot tree casts a 12-foot shadow, find the length of the shadow cast by a 28-foot tree.

Question

Mathematics

Rowan Osborne

18 May, 19:09

If a 30-foot tree casts a 12-foot shadow, find the length of the shadow cast by a 28-foot tree.

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Answers (1)

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Kailey Wise · Answer 1

Given the information, we can create 2 ratios: tree height over shadow length

This gives us:

30/12 = 28/x

We then need to solve for x by cross multiplying:

30x = 336

Then we can divide 336 by 30:

As a reduced fraction:

x = 56/5 ft

As a decimal:

x = 11.2 ft