Solve the following pinhole camera problems: 1) Given u=10cm, Ho=5m, v=2m, calculate Hi and M. 2) Given v=12.67m, Hscreen=16cm, Ho=1.86m, calculate u. 3) Given H_o=3.0m, u=7.50m, calculate image heigh

Object distance ($u$) = $10\, \text{cm} = 0.1\, \text{m}$
Object height ($H_o$) = $5\, \text{m}$
Image distance ($v$) = $2\, \text{m}$

2)

Image distance ($v$) = $12.67\, \text{m}$
Screen height ($H_{screen}$) = $16\, \text{cm} = 0.16\, \text{m}$
Object height ($H_o$) = $1.86\, \text{m}$
For a full photo, the image height ($H_i$) must be equal to the screen height. So, $H_i = 0.16\, \text{m}$.

3)

Object height ($H_o$) = $3.0\, \text{m}$
Object distance ($u$) = $7.50\, \text{m}$
Image height ($H_i$) = $8.00\, \text{cm} = 0.08\, \text{m}$

4)

Screen side = $160\, \text{mm} = 0.16\, \text{m}$
Image distance ($v$) = $150\, \text{mm} = 0.15\, \text{m}$
Object distance ($u$) = $11\, \text{m}$
The image occupies three quarters of the height of the screen, so image height ($H_i$) = $\frac{3}{4} \times 0.16\, \text{m} = 0.12\, \text{m}$.

5)

Length of pinhole camera (image distance, $v$) = $0.1\, \text{m}$
Object height ($H_o$) = $1\, \text{m}$
Object distance ($u$) = $2\, \text{m}$