Question

An image of a car with height of 14 cm occurred in the mirror which is located at a T-

intersection. If the car height is 140 cm and the radius of the curvature of the mirror is 60 cm,
how far is the car from the mirror?
helpp me!!!!!!

Answer 1

The distance of car form the mirror is 330 cm.

Step-by-step explanation:

height of object, h = 140 cm

height of image, h' = 14 cm

radius of curvature, R = 60 cm

focal length, f = R/2 = + 30 cm

Let the distance of image is v and the distance of object is u.

`(h')/(h)(v)/(u)\\\\(14)/(140) =(v)/(u)\\\\v =(u)/(10)`

Use the formula of focal length

`(1)/(f)=(1)/(v)+(1)/(u)\\\\(1)/(30)=(10)/(u)+(1)/(u)\\\\(1)/(30)=(11)/(u)\\\\u = 330 cm`