Question

A camera obscura used by a portrait painter is located 6m from a child who stands 1m tall. How tall is her image if the back of the camera obscura is 2m away?

Answer 1

Answer on Question #82930, Physics / Optics

Question. A camera obscura used by a portrait painter is located $6\mathrm{m}$ from a child who stands $1\mathrm{m}$ tall. How tall is her image if the back of the camera obscura is $2\mathrm{m}$ away?

Solution.

$$\frac{1/2}{6} = \frac{x/2}{2} \rightarrow \frac{1}{12} = \frac{x}{4} \rightarrow x = \frac{1}{3} \text{ m.}$$

Answer. $x = \frac{1}{3} \text{ m.}$

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