Answer:
Height of the object is 68.6 cm.
Step-by-step explanation:
The height of the object can be determined by:
[tex]\frac{object distance from pinhole}{image distance from pinhole}[/tex] = [tex]\frac{object height}{image height}[/tex]
From the given question;
object distance from pinhole = 3.6 m = 360 cm
image distance from pinhole = 4.2 cm
height of image = 0.8 cm
So that;
[tex]\frac{360}{4.2}[/tex] = [tex]\frac{object height}{0.8}[/tex]
⇒ object height = [tex]\frac{360*0.8}{4.2}[/tex]
= [tex]\frac{288}{4.2}[/tex]
= 68.571
object height = 68.6 cm
Thus, the height of the object is 68.6 cm.
