Two lenses are separated by $x=45\mathrm{.}0cm,$ as shown. Their focal lengths are $f_A=14\mathrm{.}3cm$ and $f_B=-8\mathrm{.}7cm,$ respectively. An object $(5\mathrm{.}2$ cm tall$)$ is located $30\mathrm{.}0$ cm to the left of lens $A.$

a$)$ Determine the position, orientation and height of the image formed by lens $A.(2$ points$)$

b$)$ Determine the position, orientation, and height of the image formed by lens B$.(2$ points$)$

c$)$ Using the figure provided $($because it is displayed to scale$),$ draw a ray diagram for this system. $(2$ points$)$