Samantha places a mirror on the ground between herself and an apartment building and
stands so that when she looks into the mirror, she sees the top of the building. The center of
the mirror is 1.22 meters from her feet and 7.32 meters from the base of the building.
Samantha's eye is 1.82 meters above the ground. How tall is the building?

Question

contestada

Respuesta :

Cricetus Cricetus · Answer 1 · 2021-06-13T14:03:58+02:00

Answer:

The correct solution is "10.92 meters".

Step-by-step explanation:

The given values are:

Center of the mirror,

= 1.22 meters

Base,

= 7.32 meters

Samantha's eye,

= 1.82 meters

Let the height of the building will be "x".

Now,

The height of the building will be:

⇒ [tex]\frac{1.82}{x} =\frac{1.22}{7.32}[/tex]

By applying cross-multiplication, we get

⇒ [tex]x=\frac{1.82\times 7.32}{1.22}[/tex]

⇒ [tex]=\frac{13.322}{1.22}[/tex]

⇒ [tex]=10.92 \ meters[/tex]