An object is 10 cm from the mirror, its height is 1 cm and the focal length is 5 cm. what is the distance from the image to the mirror?

image distance 10cm

Explanation:

An object is 10 cm from the mirror, its height is 1 cm and the focal length is 5 cm. What is the distance from the image to the mirror?

The distance at which the object is placed from that of the point of incidence on the mirror is called as object distance. Similarly, the distance from the point of incidence of the mirror to where the image is formed is image distance.

for a plane mirror the object distance is equal to the image distance. angle of incidence is equal to angle of reflection, take note

if object distance from the mirror is 10cm, then image distance from the mirror will be 10cm

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west