Question

Imagine you're in your car, which is equipped with a convex spherical side mirror. The mirror has a radius of curvature of 25 cm. As you're parked, you notice a Tesla Cybertruck parked 20 meters behind you. This Cybertruck's image height in the mirror is 1.1 ст.

How tall is the Cybertruck?

O -1.77 m
O 2.0 m
O .99 m
O 17.7 m
O 1.77 m

Answer 1

The height of the Cyber truck is approximately 1.77 m. Hence the correct option is e.

To determine the height of the Cyber truck, we can use the mirror equation for a convex mirror, which relates the object distance (do​), the image distance (di​), and the focal length (f):

1/f1= 1/do+ 1/di

In the case of a convex mirror, the focal length is positive. The radius of curvature (R) is related to the focal length by f=R/2. Given that the radius of curvature is 25 cm, the focal length is 12.5 cm.

Substituting these values into the mirror equation, we can solve for the object distance (do​), which represents the distance of the Cyber truck from the mirror. The calculated height is approximately 1.77 meters. Hence the correct option is e.