You view a nearby tree in a concave mirror. The inverted image of the tree is 3.3cm high and is located 8.0cm in front of the mirror. If the tree is 26m from the mirror, what is its height?

Respuesta :

Answer:

[tex]10.72m[/tex]

Explanation:

We have

[tex]h'/h = -(q/p)[/tex]

h' = height of the object's reflection = 3.3cm

h = height of the object = ????

q = distance of object from mirror = 26m

p = distance of reflection in mirror = 8.0cm

[tex]h = (h')/(q/p)\\\\h= \frac{0 .033m}{ (0.08m/26m)} \\\\h = 10.72 m[/tex]

The tree has a height of 11m.

you need to solve first for the distance of the image using the mirror equation.

Then find the height using the magnification equation.