A student has built a 15cm-long pinhole camera for a science fair project. She wants to photograph her 180cm-tall friend and have the image on the film be0.5cm high. How far should the front of the camera be from her friend?

Short Answer

Expert verified

The distance between both the student's classmate and camera isd=540cmor5.4m

Step by step solution

01

The ray structure of light

The Ray Structure of Light: Light passes at v=c/n, via neat lines called light ray. The light ray will persist indefinitely except if it interacts with substance, in which case it will reflects, refract, disperse, or be consumed. Light rays are emitted by things. Rays are sent out in every dimensions from every spot on the item. When divergent rays are gathered either by pupil and centered just on retina, the person perceives an item (or a picture). If lens, reflectors, and apertures are bigger over 1mm, ray optics is acceptable.

02

Data given

Camera's height was 15cm.

180cmwould be the size of student's buddy.

That picture just on camera has a length of 5.0CM.

03

The distance between the student's friend and the camera

Pictorial representation:

Calculation:

Lets drepresent the space between both the classmate and device's face. Its identical triangles as in diagram under show how the lengths were linked.

5.0cm15cm=180cmd

Calculate for d

d=(15cm)(180cm)5.0cm

=540cmor5.4m

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