A student has built a 20-cm-long pinhole camera for a science fair project. She

Question

A student has built a 20-cm-long pinhole camera for a science fair project. She wants to photograph the Washington Monument, which is 167 m (550 ft) tall, and to have the image on the film be 5.0 cm high.

How far should she stand from the Washington Monument? A student has built a 20-cm-long pinhole camera for a science fair project. She wants to photograph the Washington Monument, which is 167 m (550 ft) tall, and to have the image on the film be 5.0 cm high. A student has built a 20-cm-long pinhole camera for a science fair project. She wants to photograph the Washington Monument, which is 167 m (550 ft) tall, and to have the image on the film be 5.0 cm high. A student has built a 20-cm-long pinhole camera for a science fair project. She wants to photograph the Washington Monument, which is 167 m (550 ft) tall, and to have the image on the film be 5.0 cm high.

How far should she stand from the Washington Monument?

Explanation / Answer

Imagine the figure yourself.
We have the focal length = 0.2m
The required image size is 0.05m
Let the building height be 167m
Let the distance of the building from PC be x.
This distance can be found by considering the two similar triangles formed. Refer your own figure for details because its self explanatory.

Then x/167=0.2/0.05
x=668m, pretty far isnt it!

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